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Эта публикация цитируется в 34 научных статьях (всего в 34 статьях)
Smoothness spaces related to Morrey spaces — a survey. II
W. Sickel
Mathematishes Institut, Friedrich-Schiller-University, Jena, Germany
Аннотация:
We continue the discussion of different strategies of introducing smoothness spaces related to Morrey spaces.
Ключевые слова и фразы:
Morrey spaces, Nikol'skii–Besov spaces, Lizorkin–Triebel spaces, Nikol'skii–Besov type spaces, Lizorkin–Triebel type spaces, differences, wavelets, atoms, approximation spaces, Gagliardo–Nirenberg type inequalities, embeddings, real interpolation.
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Тип публикации:
Статья
MSC: 46E35
Поступила в редакцию: 25.04.2012
Язык публикации: английский
Образец цитирования:
W. Sickel, “Smoothness spaces related to Morrey spaces — a survey. II”, Eurasian Math. J., 4:1 (2013), 82–124
Цитирование в формате AMSBIB
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\by W.~Sickel
\paper Smoothness spaces related to Morrey spaces~--- a survey.~II
\jour Eurasian Math. J.
\yr 2013
\vol 4
\issue 1
\pages 82--124
\mathnet{http://mi.mathnet.ru/emj117}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3118894}
\zmath{https://zbmath.org/?q=an:1290.46028}
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http://mi.mathnet.ru/emj117 http://mi.mathnet.ru/rus/emj/v4/i1/p82
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Related articles on Google Scholar:
Russian articles,
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Цикл статей
Эта публикация цитируется в следующих статьяx:
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V. I. Burenkov, “Recent progress in studying the boundedness of classical operators of real analysis in general Morrey-type spaces. II”, Eurasian Math. J., 4:1 (2013), 21–45
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V. I. Burenkov, D. K. Darbayeva, E. D. Nursultanov, “Description of interpolation spaces for general local Morrey-type spaces”, Eurasian Math. J., 4:1 (2013), 46–53
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T. V. Tararykova, “Comments on definitions of general local and global Morrey-type spaces”, Eurasian Math. J., 4:1 (2013), 125–134
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Haroske D.D., Skrzypczak L., “Embeddings of Besov-Morrey Spaces on Bounded Domains”, Studia Math., 218:2 (2013), 119–144
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Yang D., Yuan W., Zhuo C., “Complex Interpolation on Besov-Type and Triebel-Lizorkin-Type Spaces”, Anal. Appl., 11:5 (2013), 1350021
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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, Тр. МИАН, 284, МАИК «Наука/Интерпериодика», М., 2014, 105–137
 ; 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 -
Haroske D.D., Skrzypczak L., “On Sobolev and Franke-Jawerth Embeddings of Smoothness Morrey Spaces”, Rev. Mat. Complut., 27:2 (2014), 541–573
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Sautbekova M., Sickel W., “Strong Summability of Fourier Series and Morrey Spaces”, Anal. Math., 40:1 (2014), 31–62
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Sickel W., Yang D., Yuan W., “The Radial Lemma of Strauss in the Context of Morrey Spaces”, Ann. Acad. Sci. Fenn. Ser. A1-Math., 39:1 (2014), 417–442
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Yuan W., “Complex Interpolation For Predual Spaces of Morrey-Type Spaces”, Taiwan. J. Math., 18:5 (2014), 1527–1548
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Triebel H., “Hybrid Function Spaces, Heat and Navier-Stokes Equations”, Hybrid Function Spaces, Heat and Navier-Stokes Equations, Ems Tracts in Mathematics, 24, Eur. Math. Soc., 2014, 1–185
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de Almeida M.F., Precioso J.C.P., “Existence and Symmetries of Solutions in Besov-Morrey Spaces For a Semilinear Heat-Wave Type Equation”, J. Math. Anal. Appl., 432:1 (2015), 338–355
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Yuan Wen Winfried S. Yang DaChun, “Interpolation of Morrey-Campanato and Related Smoothness Spaces”, Sci. China-Math., 58:9 (2015), 1835–1908
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Yuan W., Haroske D.D., Skrzypczak L., Yang D., “Embedding Properties of Weighted Besov-Type Spaces”, Anal. Appl., 13:5 (2015), 507–553
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Yuan W., Haroske D.D., Moura S.D., Skrzypczak L., Yang D., “Limiting Embeddings in Smoothness Money Spaces, Continuity Envelopes and Applications”, J. Approx. Theory, 192 (2015), 306–335
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Yuan W., Haroske D.D., Skrzypczak L., Yang D., “Embedding Properties of Besov-Type Spaces”, Appl. Anal., 94:2 (2015), 318–340
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Yuan W., Lu Yu., Yang D., “Fractional Hajlasz-Morrey-Sobolev Spaces on Quasi-Metric Measure Spaces”, Studia Math., 226:2 (2015), 95–122
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Yang D., Zhuo C., Yuan W., “Triebel-Lizorkin Type Spaces With Variable Exponents”, Banach J. Math. Anal., 9:4 (2015), 146–202
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Triebel H., “Tempered Homogeneous Function Spaces”: Triebel, H, Tempered Homogeneous Function Spaces, Ems Series of Lectures in Mathematics, Eur. Math. Soc., 2015, COVER1–U6
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L. Liu, D. Yang, W. Yuan, “Besov-type and Triebel-Lizorkin-type spaces associated with heat kernels”, Collect. Math., 67:2 (2016), 247–310
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Sh. Nakamura, T. Noi, Y. Sawano, “Generalized Morrey spaces and trace operator”, Sci. China-Math., 59:2 (2016), 281–336
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D. D. Haroske, S. D. Moura, “Some specific unboundedness property in smoothness Morrey spaces. The non-existence of growth envelopes in the subcritical case”, Acta. Math. Sin.-English Ser., 32:2 (2016), 137–152
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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, Тр. МИАН, 293, МАИК «Наука/Интерпериодика», М., 2016, 113–132 ; 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
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W. Yuan, Yu.-f. Lu, D.-Yang, “Several equivalent characterizations of fractional Hajasz-Morrey-Sobolev spaces”, Appl. Math.-J. Chin. Univ. Ser. B, 31:3 (2016), 343–354
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D. D. Haroske, S. D. Moura, L. Skrzypczak, “Smoothness Morrey spaces of regular distributions, and some unboundedness property”, Nonlinear Anal.-Theory Methods Appl., 139 (2016), 218–244
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V. I. Burenkov, T. V. Tararykova, “Young’s inequality for convolutions in Morrey-type spaces”, Eurasian Math. J., 7:2 (2016), 92–99
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D. D. Haroske, S. D. Moura, C. Schneider, L. Skrzypczak, “Unboundedness properties of smoothness Morrey spaces of regular distributions on domains”, Sci. China-Math., 60:12 (2017), 2349–2376
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Z. Baituyakova, W. Sickel, “Strong summability of Fourier series and generalized Morrey spaces”, Anal. Math., 43:3 (2017), 371–414
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D. D. Haroske, L. Skrzypczak, “Embeddings of weighted Morrey spaces”, Math. Nachr., 290:7 (2017), 1066–1086
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D. D. Haroske, L. Skrzypczak, “Compact embeddings of weighted smoothness spaces of Morrey type: an example”, Functional Analysis, Harmonic Analysis, and Image Processing: a Collection of Papers in Honor of Bjorn Jawerth, Contemporary Mathematics, 693, eds. M. Cwikel, M. Milman, Amer. Math. Soc., 2017, 235–253
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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
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D. I. Hakim, “Complex interpolation of certain closed subspaces of generalized Morrey spaces”, Tokyo J. Math., 41:2 (2018), 487–514
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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
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Moura S., Neves J., Schneider C., “Traces and Extensions of Generalized Smoothness Morrey Spaces on Domains”, Nonlinear Anal.-Theory Methods Appl., 181 (2019), 311–339
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