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Матем. сб., 2008, том 199, номер 12, страницы 117–128 (Mi msb3794)  

Эта публикация цитируется в 62 научных статьях (всего в 62 статьях)

Дифференцирование суперпозиции как оператор из пространств со смешанной нормой в $\alpha$-пространства Блоха

Сонгсиао Лиa, С. Стевичb

a Department of Mathematics, Jiaying University
b Mathematical Institute, Serbian Academy of Sciences and Arts

Аннотация: Изучаются ограниченность и компактность произведения оператора дифференцирования и оператора суперпозиции, действующего из пространств со смешанной нормой в $\alpha$-пространства Блоха.
Библиография: 18 названий.
Автор для корреспонденции

DOI: https://doi.org/10.4213/sm3794

Полный текст: PDF файл (465 kB)
Список литературы: PDF файл   HTML файл

Англоязычная версия:
Sbornik: Mathematics, 2008, 199:12, 1847–1857

Реферативные базы данных:

УДК: 517.547.7+ 517.983.26
MSC: Primary 47B38; Secondary 30H05
Поступила в редакцию: 03.11.2006

Образец цитирования: Сонгсиао Ли, С. Стевич, “Дифференцирование суперпозиции как оператор из пространств со смешанной нормой в $\alpha$-пространства Блоха”, Матем. сб., 199:12 (2008), 117–128; Songxiao Li, S. Stević, “Composition followed by differentiation from mixed-norm spaces to $\alpha$-Bloch spaces”, Sb. Math., 199:12 (2008), 1847–1857

Цитирование в формате AMSBIB
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\by Сонгсиао~Ли, С.~Стевич
\paper Дифференцирование суперпозиции как оператор из пространств со смешанной нормой в~$\alpha$-пространства Блоха
\jour Матем. сб.
\yr 2008
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\issue 12
\pages 117--128
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\by Songxiao~Li, S.~Stevi{\'c}
\paper Composition followed by differentiation from mixed-norm spaces to $\alpha$-Bloch spaces
\jour Sb. Math.
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\issue 12
\pages 1847--1857
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  • http://mi.mathnet.ru/msb3794
  • https://doi.org/10.4213/sm3794
  • http://mi.mathnet.ru/rus/msb/v199/i12/p117

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    Эта публикация цитируется в следующих статьяx:
    1. Stević S., “Products of composition and differentiation operators on the weighted Bergman space”, Bull. Belg. Math. Soc. Simon Stevin, 16:4 (2009), 623–635  mathscinet  zmath  isi
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    3. Stević S., “On new Bloch-type spaces”, Appl. Math. Comput., 215:2 (2009), 841–849  crossref  mathscinet  zmath  isi  scopus
    4. Yang Weifeng, “Products of composition and differentiation operators from $\mathscr{Q}_K(p,q)$ spaces to Bloch-type spaces”, Abstr. Appl. Anal., 2009, 741920, 14 pp.  crossref  mathscinet  zmath  isi  scopus
    5. Zhu Xiangling, “Weighted composition operators from $F(p,q,s)$ spaces to $H_\mu^\infty$ spacesaces”, Abstr. Appl. Anal., 2009, 290978, 14 pp.  crossref  mathscinet  zmath  isi  scopus
    6. Stević S., “Weighted differentiation composition operators from mixed-norm spaces to weighted-type spaces”, Appl. Math. Comput., 211:1 (2009), 222–233  crossref  mathscinet  zmath  isi  scopus
    7. Zhu Xiangling, “Differentiation followed by composition from bloch spaces to $Q_p$ spaces”, J. Comput. Anal. Appl., 12:4 (2010), 731–738  mathscinet  zmath  isi
    8. Stević S., “Weighted differentiation composition operators from the mixed-norm space to the $n$th weigthed-type space on the unit disk”, Abstr. Appl. Anal., 2010 (2010), 246287, 15 pp.  crossref  mathscinet  zmath  isi  scopus
    9. Liu Yongmin, Yu Yanyan, “Weighted differentiation composition operators from mixed-norm to Zygmund spaces”, Numer. Funct. Anal. Optim., 31:8 (2010), 936–954  crossref  mathscinet  zmath  isi  scopus
    10. Stević S., “Composition followed by differentiation from $H^\infty$ and the Bloch space to $n$th weighted-type spaces on the unit disk”, Appl. Math. Comput., 216:12 (2010), 3450–3458  crossref  mathscinet  zmath  isi  scopus
    11. Stević S., “Weighted differentiation composition operators from $H^\infty$ and Bloch spaces to $n$th weighted-type spaces on the unit disk”, Appl. Math. Comput., 216:12 (2010), 3634–3641  crossref  mathscinet  zmath  isi  scopus
    12. Stević S., “Weighted iterated radial composition operators between some spaces of holomorphic functions on the unit ball”, Abstr. Appl. Anal., 2010, 801264, 14 pp.  mathscinet  zmath  isi
    13. Stević S., Sharma A.K., Bhat A., “Products of multiplication composition and differentiation operators on weighted Bergman spaces”, Appl. Math. Comput., 217:20 (2011), 8115–8125  crossref  mathscinet  zmath  isi  scopus
    14. Stević S., “On a product-type operator from Bloch spaces to weighted-type spaces on the unit ball”, Appl. Math. Comput., 217:12 (2011), 5930–5935  crossref  mathscinet  zmath  isi  scopus
    15. А. А. Долгобородов, Е. А. Севастьянов, “Экстремальные свойства подпоследовательностей нулей аналитических функций из пространств со смешанной нормой”, Матем. сб., 202:8 (2011), 3–20  mathnet  crossref  mathscinet  zmath  adsnasa  elib; A. A. Dolgoborodov, E. A. Sevast'yanov, “Extremal properties of sequences of zeros of analytic functions in spaces with mixed norm”, Sb. Math., 202:8 (2011), 1085–1103  crossref  isi
    16. Stević S., Sharma A.K., Bhat A., “Essential norm of products of multiplication composition and differentiation operators on weighted Bergman spaces”, Appl. Math. Comput., 218:6 (2011), 2386–2397  crossref  zmath  isi  scopus
    17. Stević S., Sharma A.K., “Iterated differentiation followed by composition from Bloch-type spaces to weighted BMOA spaces”, Appl. Math. Comput., 218:7 (2011), 3574–3580  crossref  mathscinet  zmath  isi  scopus
    18. Stević S., “Characterizations of composition followed by differentiation between Bloch-type spaces”, Appl. Math. Comput., 218:8 (2011), 4312–4316  crossref  mathscinet  zmath  isi  scopus
    19. Yang Weifeng, Yan Weiren, “Generalized weighted composition operators from area Nevanlinna spaces to weighted-type spaces”, Bull. Korean Math. Soc., 48:6 (2011), 1195–1205  crossref  mathscinet  zmath  isi  scopus
    20. Yu Ya., Liu Y., “Weighted differentiation composition operators from $H^\infty$-infinity to Zygmund spaces”, Integral Transforms Spec. Funct., 22:7 (2011), 507–520  crossref  mathscinet  zmath  isi  scopus
    21. Stević S., “Weighted iterated radial operators between different weighted Bergman spaces on the unit ball”, Appl. Math. Comput., 218:17 (2012), 8288–8294  crossref  mathscinet  isi  scopus
    22. Stević S., Sharma A.K., “Generalized composition operators on weighted Hardy spaces”, Appl. Math. Comput., 218:17 (2012), 8347–8352  crossref  mathscinet  isi  scopus
    23. Zhou Z.-H., Zhang L., Zeng H.-G., “Essential commutativity of some integral and composition operators”, Bull. Aust. Math. Soc., 85:1 (2012), 143–153  crossref  mathscinet  zmath  isi  scopus
    24. Liu Y., Yu Ya., “Composition followed by differentiation between $H^\infty$ and Zygmund spaces”, Complex Anal. Oper. Theory, 6:1 (2012), 121–137  crossref  mathscinet  zmath  isi  scopus
    25. Wu Yu., Wulan H., “Products of differentiation and composition operators on the Bloch space”, Collect. Math., 63:1 (2012), 93–107  crossref  mathscinet  zmath  isi  scopus
    26. Stević S., “Weighted radial operator from the mixed-norm space to the nth weighted-type space on the unit ball”, Appl. Math. Comput., 218:18 (2012), 9241–9247  crossref  mathscinet  isi  scopus
    27. Zhou Z.-H., Liang Yu.-X., Dong X.-T., “Weighted composition operators between a weighted-type space and the Hardy space on the unit ball”, Ann. Pol. Math., 104:3 (2012), 309–319  crossref  mathscinet  zmath  isi  scopus
    28. Ren Y., “New Criteria for Generalized Weighted Composition Operators From Mixed Norm Spaces Into Zygmund-Type Spaces”, Filomat, 26:6 (2012), 1171–1178  crossref  mathscinet  zmath  isi  scopus
    29. Zhou J., Liu Y., “Products of Radial Derivative and Multiplication Operators From F(P, Q, S) to Weighted-Type Spaces on the Unit Ball”, Taiwan. J. Math., 17:1 (2013), 161–178  crossref  mathscinet  zmath  isi  scopus
    30. Li H., Fu X., “A New Characterization of Generalized Weighted Composition Operators From the Bloch Space Into the Zygmund Space”, J. Funct. Space Appl., 2013 (2013), 925901, 6 pp.  crossref  mathscinet  zmath  isi  scopus
    31. Jianren Long, Chunhui Qiu, Pengcheng Wu, “Weighted composition followed and proceeded by differentiation operators from Zygmund spaces to Bloch-type spaces”, J. Inequal. Appl., 2014:1 (2014), 152  crossref  mathscinet  zmath  scopus
    32. Zhi-jie Jiang, “On a product operator from weighted Bergman-Nevanlinna spaces to weighted Zygmund spaces”, J Inequal Appl, 2014:1 (2014), 404  crossref  mathscinet  zmath  scopus
    33. Yu-Xia Liang, Xing-Tang Dong, “New characterizations for the products of differentiation and composition operators between Bloch-type spaces”, J Inequal Appl, 2014:1 (2014), 502  crossref  mathscinet  zmath  scopus
    34. Sharma A.K., “Essential Norm of Generalized Composition Operators on Weighted Hardy Spaces”, Oper. Matrices, 8:2 (2014), 399–409  crossref  mathscinet  zmath  isi  scopus
    35. Zhu X., “Generalized Weighted Composition Operators From Bers-Type Spaces Into Bloch-Type Spaces”, Math. Inequal. Appl., 17:1 (2014), 187–195  crossref  mathscinet  zmath  isi  scopus
    36. Yongmin Liu, Yanyan Yu, “On a Stević-Sharma operator from Hardy spaces to the logarithmic Bloch spaces”, J Inequal Appl, 2015:1 (2015)  crossref  mathscinet  scopus
    37. Zhi-jie Jiang, “On a product-type operator from weighted Bergman–Orlicz space to some weighted type spaces”, Applied Mathematics and Computation, 256 (2015), 37  crossref  mathscinet  zmath  scopus
    38. Haiying Li, Zhitao Guo, “On a product-type operator from Zygmund-type spaces to Bloch-Orlicz spaces”, J Inequal Appl, 2015:1 (2015)  crossref  mathscinet  scopus
    39. Bai H.-B., Jiang Zh.-J., “Product-Type Operators From Weighted Bergman-Orlicz Spaces To Bloch-Orlicz Spaces”, J. Comput. Anal. Appl., 21:7 (2016), 1147–1159  mathscinet  zmath  isi
    40. Li H., Guo Zh., “on a Product-Type Operator From Mixed-Norm Spaces To Bloch-Orlicz Spaces”, J. Comput. Anal. Appl., 21:5 (2016), 934–945  mathscinet  zmath  isi
    41. Hu Q., Shi Ya., Shi Y., Zhu X., “Essential norm of generalized weighted composition operators from the Bloch space to the Zygmund space”, J. Inequal. Appl., 2016, 123  crossref  mathscinet  isi  scopus
    42. Zhang F., Liu Y., “On the compactness of the Stević-Sharma operator on the logarithmic Bloch spaces”, Math. Inequal. Appl., 19:2 (2016), 625–642  crossref  mathscinet  zmath  isi  scopus
    43. Stevic S., “Some sharp inequalities on mixed-norm spaces on the unit ball”, J. Math. Inequal., 10:1 (2016), 31–44  crossref  mathscinet  zmath  isi  scopus
    44. Jiang Zh.J., Bai H.B., Li Z.A., “on a Product-Type Operator From Weighted Bergman-Nevanlinna Spaces To Weighted Zygmund Spaces on the Unit Disk”, J. Comput. Anal. Appl., 20:3 (2016), 447–458  mathscinet  zmath  isi
    45. Zhu X., “Essential norm of generalized weighted composition operators on Bloch-type spaces”, Appl. Math. Comput., 274 (2016), 133–142  crossref  mathscinet  isi  scopus
    46. Zhu X., “Essential norm and compactness of the product of differentiation and composition operators on Bloch type spaces”, Math. Inequal. Appl., 19:1 (2016), 325–334  crossref  mathscinet  zmath  isi  scopus
    47. Wang Sh., Zhang T., J. Funct. space, 2016, 5084794  crossref  mathscinet  zmath  isi  scopus
    48. Chen C., Zhou Z.-H., “Differences of the Weighted Differentiation Composition Operators from Mixed-Norm Spaces to Weighted-Type Spaces”, Ukr. Math. J., 68:6 (2016), 959–971  crossref  mathscinet  isi  scopus
    49. Stevic S., Sharma A.K., Krishan R., “Boundedness and compactness of a new product-type operator from a general space to Bloch-type spaces”, J. Inequal. Appl., 2016, 219  crossref  mathscinet  zmath  isi  scopus
    50. Li S., Stevic S., “Weighted Differentiation Composition Operators From the Logarithmic Bloch Space To the Weighted-Type Space”, Analele Stiint. Univ. Ovidius C., 24:3 (2016), 223–240  crossref  mathscinet  zmath  isi  scopus
    51. Yang Y., Jiang Zh.-J., “Product-Type Operators From Weighted Zygmund Spaces To Bloch-Orlicz Spaces”, J. Comput. Anal. Appl., 23:1 (2017), 132–151  isi
    52. Li H., Guo Zh., “Note on a Li-Stević integral-type operator from mixed-norm spaces to nth weighted spaces”, J. Math. Inequal., 11:1 (2017), 77–85  crossref  mathscinet  zmath  isi  scopus
    53. Liu Y., Liu X., Yu Ya., “On an extension of Stević-Sharma operator from the mixed-norm space to weighted-type spaces”, Complex Var. Elliptic Equ., 62:5 (2017), 670–694  crossref  mathscinet  zmath  isi  scopus
    54. Hu Q., Zhu X., “Compact generalized weighted composition operators on the Bergman space”, Opusc. Math., 37:2 (2017), 303–312  crossref  mathscinet  zmath  isi  scopus
    55. Liu Y., Yu Ya., “On an Extension of Stević–Sharma Operator from the General Space to Weighted-Type Spaces on the Unit Ball”, Complex Anal. Oper. Theory, 11:2 (2017), 261–288  crossref  mathscinet  zmath  isi  scopus
    56. Е. А. Севастьянов, “О нулях функций, быстро растущих в обобщенных пространствах Бергмана”, Изв. вузов. Матем., 2017, № 11, 46–59  mathnet; E. A. Sevast'yanov, “On zeros of functions rapidly growing in generalized Bergman spaces”, Russian Math. (Iz. VUZ), 61:11 (2017), 40–52  crossref  isi
    57. Jiang Zh.-J., “Product-Type Operators From Zygmund Spaces to Bloch-Orlicz Spaces”, Complex Var. Elliptic Equ., 62:11 (2017), 1645–1664  crossref  mathscinet  zmath  isi  scopus
    58. Hu Q., Zhu X., “a New Characterization of Differences of Generalized Weighted Composition Operators From the Bloch Space Into Weighted-Type Spaces”, Math. Inequal. Appl., 21:1 (2018), 63–76  crossref  mathscinet  zmath  isi  scopus
    59. Jiang Zh.-j., Wang X.-f., “Products of Radial Derivative and Weighted Composition Operators From Weighted Bergman-Orlicz Spaces to Weighted-Type Spaces”, Oper. Matrices, 12:2 (2018), 301–319  crossref  mathscinet  zmath  isi
    60. Stevic S., Sharma A.K., “On a Product-Type Operator Between Hardy and Alpha-Bloch Spaces of the Upper Half-Plane”, J. Inequal. Appl., 2018, 273  crossref  mathscinet  isi  scopus
    61. Zhang L., Zhang Ya., “A New Characterization of Differences of Weighted Composition Operators on Weighted Type Spaces”, Bull. Belg. Math. Soc.-Simon Steven, 25:4 (2018), 555–563  mathscinet  zmath  isi
    62. Zhang Ya., “Essential Norm of Generalized Weighted Composition Operators From H-Infinity to the Logarithmic Bloch Space”, J. Integral Equ. Appl., 31:1 (2019), 131–147  crossref  isi
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