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Anisotropic Variable Herz Spaces and Applications
경북대학교 자연과학대학 수학과|2024.06|Kyungpook Mathematical Journal|제64권 제2호|pp. 245-260|DOI 10.5666/KMJ.2024.64.2.245
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In this study, we establish some new characterizations for a class of anisotropic Herz spaces in which all exponents are considered as variables. We also provide a description of these spaces based on bloc decomposition. As an application, we investigate the boundedness of certain sublinear operators within these function spaces.
Abstract
In this study, we establish some new characterizations for a class of anisotropic Herz spaces in which all exponents are considered as variables. We also provide a description of these spaces based on bloc decomposition. As an application, we investigate the boundedness of certain sublinear operators within these function spaces.
참고문헌 (10)
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- L. Diening, "Lebesgue and Sobolev Spaces with Variable Exponents" (2011), Springer
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- D. Drihem, "Boundedness of some bilinear operators on variable Herztype Hardy spaces", J. Pseudo-Differ. Oper. Appl., 10, pp.601~648 (2019)
- D. Drihem, "Notes on the Herz-type Hardy spaces of variable smoothness and integrability", Math. Inequal. Appl., 19(1), pp.145~165 (2016)
- E. Nakai, "Hardy spaces with variable exponents and generalized Campanato spaces", J. Funct. Anal., 262(9), pp.3665~3748 (2012)
- H. Wang, "Anisotropic Herz spaces with variable exponents", Commun. Math. Anal., 18(2), pp.1~14 (2015)
- H. Wang, "Anisotropic Herz-type Morrey spaces with variable exponent", Khayyam J. Math., 2(2), pp.177~187 (2016)
- H. Zhao, "Anisotropic Herz-type Hardy spaces with variable exponents and their applications", Acta Math. Hungar., 156(2), pp.309~335 (2018)
관련 논문AI추천
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