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Eurasian Math. J., 2012, том 3, номер 3, страницы 33–61 (Mi emj95)  

Эта публикация цитируется в 63 научных статьях (всего в 63 статьях)

Generalized weighted Morrey spaces and higher order commutators of sublinear operators

V. S. Guliyevab

a Institute of Mathematics and Mechanics, Academy of Sciences of Azerbaijan, Baku, Azerbaijan
b Department of Mathematics, Ahi Evran University, Kirsehir, Turkey

Аннотация: In this paper, we study the boundedness of sublinear operators and their higher order commutators generated by Calderon–Zygmund operators and Riesz potentials on generalized weighted Morrey space.

Ключевые слова и фразы: generalized weighted Morrey spaces, sublinear operators, Calderon–Zygmund operators, Riesz potential, $A_p$ weights, $A_{p,q}$ weights, higher order commutator, BMO.

Полный текст: PDF файл (522 kB)
Список литературы: PDF файл   HTML файл

Реферативные базы данных:
Тип публикации: Статья
MSC: 42B20, 42B25, 42B35
Поступила в редакцию: 25.05.2012
Язык публикации: английский

Образец цитирования: V. S. Guliyev, “Generalized weighted Morrey spaces and higher order commutators of sublinear operators”, Eurasian Math. J., 3:3 (2012), 33–61

Цитирование в формате AMSBIB
\RBibitem{Gul12}
\by V.~S.~Guliyev
\paper Generalized weighted Morrey spaces and higher order commutators of sublinear operators
\jour Eurasian Math. J.
\yr 2012
\vol 3
\issue 3
\pages 33--61
\mathnet{http://mi.mathnet.ru/emj95}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3024129}
\zmath{https://zbmath.org/?q=an:1271.42019}


Образцы ссылок на эту страницу:
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  • http://mi.mathnet.ru/rus/emj/v3/i3/p33

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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. V. I. Burenkov, “Recent progress in studying the boundedness of classical operators of real analysis in general Morrey-type spaces. I”, Eurasian Math. J., 3:3 (2012), 11–32  mathnet  mathscinet  zmath
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    5. Gunawan H., Hakim D.I., Sawano Y., Sihwaningrum I., “Weak Type Inequalities for Some Integral Operators on Generalized Nonhomogeneous Morrey Spaces”, J. Funct. Space Appl., 2013, 809704  crossref  mathscinet  zmath  isi
    6. Fan Yu., “Boundedness of Sublinear Operators and Their Commutators on Generalized Central Morrey Spaces”, J. Inequal. Appl., 2013, 411  crossref  mathscinet  isi  scopus
    7. В. И. Буренков, Е. Д. Нурсултанов, Д. К. Чигамбаева, “Описание интерполяционных пространств для пары локальных пространств типа Морри и их обобщений”, Функциональные пространства и смежные вопросы анализа, Сборник статей. К 80-летию со дня рождения члена-корреспондента РАН Олега Владимировича Бесова, Труды МИАН, 284, МАИК «Наука/Интерпериодика», М., 2014, 105–137  mathnet  crossref  elib; V. I. Burenkov, E. D. Nursultanov, D. K. Chigambayeva, “Description of the interpolation spaces for a pair of local Morrey-type spaces and their generalizations”, Proc. Steklov Inst. Math., 284 (2014), 97–128  crossref  isi  elib
    8. Guliyev V.S., Deringoz F., Hasanov J.J., “Phi-Admissible Singular Operators and their Commutators on Vanishing Generalized Orlicz-Morrey Spaces”, J. Inequal. Appl., 2014, 143  crossref  mathscinet  isi  scopus
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    11. Guliyev V.S., Deringoz F., “On the Riesz Potential and its Commutators on Generalized Orlicz-Morrey Spaces”, J. Funct. space, 2014, 617414  crossref  mathscinet  zmath  isi  scopus
    12. Guliyev V.S., Alizadeh F.Ch., “Multilinear Commutators of Calderon-Zygmund Operator on Generalized Weighted Morrey Spaces”, J. Funct. space, 2014, 710542  crossref  mathscinet  zmath  isi  scopus
    13. Hu Yu., Wang Yu., “Multilinear Fractional Integral Operators on Generalized Weighted Morrey Spaces”, J. Inequal. Appl., 2014, 323  crossref  mathscinet  isi  scopus
    14. Guliyev V.S., Omarova M.N., “Multilinear Commutators of Vector-Valued Intrinsic Square Functions on Vector-Valued Generalized Weighted Morrey Spaces”, J. Inequal. Appl., 2014, 258  crossref  mathscinet  zmath  isi  elib  scopus
    15. Balakishiyev A.S. Guliyev V.S. Gurbuz F. Serbetci A., “Sublinear Operators With Rough Kernel Generated By Calderon-Zygmund Operators and Their Commutators on Generalized Local Morrey Spaces”, J. Inequal. Appl., 2015, 61  crossref  mathscinet  zmath  isi  elib  scopus
    16. Guliyev V.S., Omarova M.N., “Multi Linear Singular and Fractional Integral Operators on Generalized Weighted Morrey Spaces”, Azerbaijan J. Math., 5:1 (2015), 104–132  mathscinet  zmath  isi  elib
    17. Guliyev V.S., Ismayilova A.F., Kucukaslan A., Serbetci A., “Generalized Fractional Integral Operators on Generalized Local Morrey Spaces”, J. Funct. space, 2015, 594323  crossref  mathscinet  zmath  isi  elib  scopus
    18. Guliyev V., Omarova M., Sawano Y., “Boundedness of Intrinsic Square Functions and Their Commutators on Generalized Weighted Orlicz-Morrey Spaces”, Banach J. Math. Anal., 9:2 (2015), 44–62  crossref  mathscinet  zmath  isi  elib  scopus
    19. Cui R., Li Zh., “Boundedness of Marcinkiewicz Integrals and Their Commutators on Generalized Weighted Morrey Spaces”, J. Funct. space, 2015, 450145  crossref  mathscinet  zmath  isi  elib  scopus
    20. Najafov A.M., Orujova A.T., “On Properties of the Generalized Besov-Morrey Spaces With Dominant Mixed Derivatives”, Proc. Inst. Math. Mech., 41:1 (2015), 3–15  mathscinet  zmath  isi
    21. V. S. Guliyev, F. Deringoz, J. J. Hasanov, “$(\phi,\psi)$-Admissible potential operators and their commutators on vanishing Orlicz-Morrey spaces”, Collect. Math., 67:1 (2016), 133–153  crossref  mathscinet  zmath  isi  elib  scopus
    22. В. И. Буренков, Т. В. Тарарыкова, “Аналог неравенства Юнга для сверток функций для общих пространств типа Морри”, Функциональные пространства, теория приближений, смежные разделы математического анализа, Сборник статей. К 110-летию со дня рождения академика Сергея Михайловича Никольского, Труды МИАН, 293, МАИК «Наука/Интерпериодика», М., 2016, 113–132  mathnet  crossref  mathscinet  elib; V. I. Burenkov, T. V. Tararykova, “An analog of Young's inequality for convolutions of functions for general Morrey-type spaces”, Proc. Steklov Inst. Math., 293 (2016), 107–126  crossref  isi  elib
    23. A. Akbulut, A. Hasanov, “Fractional multilinear integrals with rough kernels on generalized weighted Morrey spaces”, Open Math., 14 (2016), 1023–1038  crossref  mathscinet  zmath  isi  scopus
    24. V. S. Guliyev, A. Akbulut, V. H. Hamzayev, O. Kuzu, “Commutators of Marcinkiewicz integrals associated with Schrodinger operator on generalized weighted Morrey spaces”, J. Math. Inequal., 10:4 (2016), 947–970  crossref  mathscinet  zmath  isi  scopus
    25. M. Rosenthal, H.-J. Schmeisser, “The boundedness of operators in Muckenhoupt weighted Morrey spaces via extrapolation techniques and duality”, Rev. Mat. Complut., 29:3 (2016), 623–657  crossref  mathscinet  zmath  isi  scopus
    26. V. Guliyev, Sh. Muradova, M. Omarova, L. Softova, “Gradient estimates for parabolic equations in generalized weighted Morrey spaces”, Acta. Math. Sin.-English Ser., 32:8 (2016), 911–924  crossref  mathscinet  zmath  isi  scopus
    27. V. S. Guliyev, V. H. Hamzayev, “Rough singular integral operators and its commutators on generalized weighted Morrey spaces”, Math. Inequal. Appl., 19:3 (2016), 863–881  crossref  mathscinet  zmath  isi  scopus
    28. A. Akbulut, V. H. Hamzayev, Z. V. Safarov, “Rough fractional multilinear integral operators on generalized weighted Morrey spaces”, Azerbaijan J. Math., 6:2 (2016), 128–142  mathscinet  zmath  isi
    29. V. S. Guliyev, M. N. Omarova, “Parabolic oblique derivative problem with discontinuous coefficients in generalized weighted Morrey spaces”, Open Math., 14 (2016), 283–285  crossref  mathscinet  isi  scopus
    30. L.-E. Persson, N. Samko, P. Wall, “Calderon-Zygmund type singular operators in weighted generalized Morrey spaces”, J. Fourier Anal. Appl., 22:2 (2016), 413–426  crossref  mathscinet  zmath  isi  scopus
    31. V. S. Guliyev, M. N. Omarova, “Parabolic oblique derivative problem with discontinuous coefficients in generalized weighted Morrey spaces”, Open Math., 14 (2016), 49–61  crossref  mathscinet  zmath  isi  scopus
    32. V. I. Burenkov, T. V. Tararykova, “Young’s inequality for convolutions in Morrey-type spaces”, Eurasian Math. J., 7:2 (2016), 92–99  mathnet
    33. F. Deringoz, V. S. Guliyev, M. A. Ragusa, “Intrinsic square functions on vanishing generalized Orlicz-Morrey spaces”, Set-Valued Var. Anal., 25:4 (2017), 807–828  crossref  isi
    34. F. Gurbuz, “Some estimates for generalized commutators of rough fractional maximal and integral operators on generalized weighted Morrey spaces”, Can. Math. Bul.-Bul. Can. Math., 60:1 (2017), 131–145  crossref  isi
    35. A. Eroglu, M. N. Omarova, Sh. A. Muradova, “Elliptic equations with measurable coefficients in generalized weighted Morrey spaces”, Proc. Inst. Math. Mech., 43:2 (2017), 197–213  isi
    36. A. Eroglu, “Fractional oscillatory integral operators and their commutators on generalized Orlicz–Morrey spaces of the third kind”, Eurasian Math. J., 8:3 (2017), 36–47  mathnet
    37. B. Cekic, A. C. Alabalik, “Boundedness of fractional oscillatory integral operators and their commutators in vanishing generalized weighted Morrey spaces”, J. Funct. space, 2017, 3295376  crossref  isi
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    39. N. R. Ahmedzade, Z. A. Kasumov, “On the Dirichlet problem for the Laplace equation with the boundary value in Morrey space”, Eurasian Math. J., 9:4 (2018), 9–21  mathnet  crossref
    40. Deringoz F., Guliyev V.S., Hasanov S.G., “Maximal Operator and Its Commutators on Generalized Weighted Orlicz-Morrey Spaces”, Tokyo J. Math., 41:2 (2018), 347–369  crossref  mathscinet  zmath  isi  scopus
    41. Duoandikoetxea J., Rosenthal M., “Extension and Boundedness of Operators on Morrey Spaces From Extrapolation Techniques and Embeddings”, J. Geom. Anal., 28:4 (2018), 3081–3108  crossref  mathscinet  zmath  isi  scopus
    42. Najafov A.M., Rustamova N.R., “On Some Properties of Functions From a Besov-Morrey Type Spaces”, Afr. Mat., 29:7-8 (2018), 1007–1017  crossref  mathscinet  zmath  isi  scopus
    43. Gurbuz F., “On the Behavior of a Class of Fractional Type Rough Higher Order Commutators on Generalized Weighted Morrey Spaces”, J. Coupled Syst. Multiscale Dyn., 6:3 (2018), 191–198  crossref  isi
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    47. Guzman-Partida M., “A Note on Some Operators Acting on Central Morrey Spaces”, Mat. Vestn., 70:2 (2018), 155–160  mathscinet  isi
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    49. Burenkov V. Ghorbanalizadeh A. Sawano Y., “on the Equivalence of the K-Functional and the Modulus of Continuity on the Money Spaces”, J. Approx. Theory, 248 (2019), 105295  crossref  mathscinet  zmath  isi  scopus
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    53. Guliyev V.S., Omarova M.N., Softova L., “the Dirichlet Problem in a Class of Generalized Weighted Morrey Spaces”, Proc. Inst. Math. Mech., 45:2 (2019), 270–285  mathscinet  zmath  isi
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