Hardy’s inequalities and integral operators on Herz-Morrey spaces-Reference-Cited by-同舟云学术

Hardy’s inequalities and integral operators on Herz-Morrey spaces

Published:2020-01-01 Issue:1 Volume:18 Page:106-121
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Yee Tat-Leung¹,Ho Kwok-Pun¹

Affiliation:

1. Department of Mathematics and Information Technology , The Education University of Hong Kong , 10 Lo Ping Road, Tai Po , Hong Kong , China

Abstract

Abstract We obtain some estimates for the operator norms of the dilation operators on Herz-Morrey spaces. These results give us the Hardy’s inequalities and the mapping properties of the integral operators on Herz-Morrey spaces. As applications of this general result, we have the boundedness of the Hadamard fractional integrals on Herz-Morrey spaces. We also obtain the Hilbert inequality on Herz-Morrey spaces.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2020-0008/pdf

Reference46 articles.

1. C.S. Herz, Lipschitz spaces and Bernstein’s theorem on absolutely convergent Fourier transforms, J. Math. Mech. 18 (1968/69), 283–323.

2. C. Morrey, On the solutions of quasi-linear elliptic partial differential equations, Trans. Amer. Math. Soc. 43 (1938), 126–166.

3. J. Alvarez, M. Guzmán-Partida, and J. Lakey, Spaces of bounded λ-central mean oscillation, Morrey spaces, and λ-central Carleson measures, Collect. Math. 51 (2000), 1–47.

4. Z. Fu, Y. Lin, and S.-Z. Lu, λ-central BMO estimates for commutators of singular integral operators with rough kernels, Acta Math. Sinica (Engl. Ser.) 24 (2008), 373–386.

5. Y. Komori-Furuya and E. Sato, Fractional integral operators on central Morrey spaces, Math. Inequal. Appl. 20 (2017), 801–813.

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