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Title: Global subrepresentation formulas in chain domains with irregular boundaries
Authors: Chua, SK 
Wheeden, RL
Issue Date: 1-Oct-2022
Publisher: Elsevier BV
Citation: Chua, SK, Wheeden, RL (2022-10-01). Global subrepresentation formulas in chain domains with irregular boundaries. Nonlinear Analysis, Theory, Methods and Applications 223 : 112998-112998. ScholarBank@NUS Repository.
Abstract: For a large class of chain domains with rough boundaries, we derive global subrepresentation formulas (i.e., pointwise inequalities reminiscent of part of the Fundamental Theorem of Calculus). The results are new even for John and Boman domains. We also show how they lead to global first order Poincaré–Sobolev estimates in a large collection of Φ-John domains. The restriction on Φ is expressed as an integral condition on the number of chaining balls of various specific sizes.
Source Title: Nonlinear Analysis, Theory, Methods and Applications
ISSN: 0362546X
DOI: 10.1016/
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