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2021 A Note on Embedding Inequalities for Weighted Sobolev and Besov Spaces
Hiroki Saito
Author Affiliations +
Taiwanese J. Math. Advance Publication 1-17 (2021). DOI: 10.11650/tjm/211204

Abstract

In this paper, we establish two embedding inequalities for the weighted Sobolev space and the weighted homogeneous endpoint Besov space by using the weighted Hausdorff capacity. To do this, we shall determine the dual spaces of weighted Choquet and weighted homogeneous Besov spaces.

Funding Statement

The author is supported by Grant-in-Aid for Young Scientists (19K14577), the Japan Society for the Promotion of Science.

Citation

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Hiroki Saito. "A Note on Embedding Inequalities for Weighted Sobolev and Besov Spaces." Taiwanese J. Math. Advance Publication 1 - 17, 2021. https://doi.org/10.11650/tjm/211204

Information

Published: 2021
First available in Project Euclid: 20 December 2021

Digital Object Identifier: 10.11650/tjm/211204

Subjects:
Primary: 42B25
Secondary: 42B35

Rights: Copyright © 2021 The Mathematical Society of the Republic of China

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