Hardy and Hardy-Sobolev Spaces on Strongly Lipschitz Domains and Some Applications
Let Ω ⊂ Rn be a strongly Lipschitz domain. In this article, the authors study Hardy spaces, Hpr (Ω)and Hpz (Ω), and Hardy-Sobolev spaces, H1,pr (Ω) and H1,pz,0 (Ω) on , for p ∈ ( n/n+1, 1]. The authors establish grand maximal function characterizations of these spaces. As applications, the authors...
Main Authors: | Chen Xiaming, Jiang Renjin, Yang Dachun |
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Format: | Article |
Language: | English |
Published: |
De Gruyter
2016-12-01
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Series: | Analysis and Geometry in Metric Spaces |
Subjects: | |
Online Access: | https://doi.org/10.1515/agms-2016-0017 |
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