Open Access
April, 2022 A Note on Embedding Inequalities for Weighted Sobolev and Besov Spaces
Hiroki Saito
Author Affiliations +
Taiwanese J. Math. 26(2): 363-379 (April, 2022). 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

Download Citation

Hiroki Saito. "A Note on Embedding Inequalities for Weighted Sobolev and Besov Spaces." Taiwanese J. Math. 26 (2) 363 - 379, April, 2022. https://doi.org/10.11650/tjm/211204

Information

Received: 18 September 2021; Accepted: 14 December 2021; Published: April, 2022
First available in Project Euclid: 20 December 2021

MathSciNet: MR4396485
zbMATH: 1496.46034
Digital Object Identifier: 10.11650/tjm/211204

Subjects:
Primary: 42B25
Secondary: 42B35

Keywords: dual spaces , ‎embedding‎ , weighted Hausdorff capacity , weighted Morrey spaces , weighted Sobolev and Besov spaces

Rights: Copyright © 2022 The Mathematical Society of the Republic of China

Vol.26 • No. 2 • April, 2022
Back to Top