Boundedness of vector-valued sublinear operators on weighted Herz-Morrey spaces with variable exponents-Reference-Cited by-同舟云学术

Boundedness of vector-valued sublinear operators on weighted Herz-Morrey spaces with variable exponents

Published:2021-01-01 Issue:1 Volume:19 Page:412-426
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Wang Shengrong¹,Xu Jingshi¹

Affiliation:

1. School of Mathematics and Computing Science, Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guilin University of Electronic Technology , Guilin , 541004 , P. R. China

Abstract

Abstract If vector-valued sublinear operators satisfy the size condition and the vector-valued inequality on weighted Lebesgue spaces with variable exponent, then we obtain their boundedness on weighted Herz-Morrey spaces with variable exponents.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2021-0024/pdf

Reference45 articles.

1. O. Kováčik and J. Rákosník , On space Lp(x) and Wk,p(x) , Czechoslovak Math. J. 41 (1991), 592–618.

2. D. Cruz-Uribe , A. Fiorenza , J. M. Martell , and C. Pérez , The boundedness of classical operators on variable Lp spaces, Ann. Acad. Sci. Fenn. Math. 31 (2006), 239–264.

3. D. Cruz-Uribe and A. Fiorenza , Variable Lebesgue Spaces, Birkhauser, Basel, 2013.

4. L. Diening , P. Harjulehto , P. Hästö , and M. Ruzicka , Lebesgue and Sobolev Spaces with Variable Exponents, Springer, Berlin, 2011.

5. A. Almeida and P. Hästö , Besov spaces with variable smoothness and integrability, J. Funct. Anal. 258 (2010), 1628–1655.

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