Sharp constants for multilinear Hausdorff operators on local Morrey-type spaces
Author:
Affiliation:
1. Department of Mathematics , Shanghai University , Shanghai 200444 , P. R. China
2. School of Mathematics and Statistics , Xinyang Normal University , Xinyang 464000 , P. R. China
Abstract
Funder
National Natural Science Foundation of China
Natural Science Foundation of Shanghai
Publisher
Walter de Gruyter GmbH
Subject
Applied Mathematics,General Mathematics
Link
https://www.degruyter.com/document/doi/10.1515/forum-2022-0354/pdf
Reference35 articles.
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2. A. Akbulut, V. Guliyev and S. Muradova, Boundedness of the anisotropic Riesz potential in anisotropic local Morrey-type spaces, Complex Var. Elliptic Equ. 58 (2013), no. 2, 259–280.
3. J. Alvarez, J. Lakey and M. Guzmán-Partida, Spaces of bounded λ-central mean oscillation, Morrey spaces, and λ-central Carleson measures, Collect. Math. 51 (2000), no. 1, 1–47.
4. K. Andersen, Boundedness of Hausdorff operators on L p ( 𝐑 n ) , H 1 ( 𝐑 n ) L^{p}({\mathbf{R}}^{n}),H^{1}({\mathbf{R}}^{n}) , and BMO ( 𝐑 n ) {\rm BMO}({\mathbf{R}}^{n}) , Acta Sci. Math. (Szeged) 69 (2003), no. 1–2, 409–418.
5. G. Brown and F. Móricz, Multivariate Hausdorff operators on the spaces L p ( ℝ n ) L^{p}(\mathbb{R}^{n}) , J. Math. Anal. Appl. 271 (2002), no. 2, 443–454.
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