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The Hardy space decomposition on multiangular domain
Author(s) -
Wen Zhihong,
Deng Guantie
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5661
Subject(s) - mathematics , hardy space , decomposition , boundary (topology) , space (punctuation) , rational function , function space , domain (mathematical analysis) , function (biology) , domain decomposition methods , pure mathematics , mathematical analysis , boundary values , boundary value problem , algebra over a field , computer science , physics , thermodynamics , finite element method , ecology , evolutionary biology , biology , operating system
In this paper, we consider the problem of Hardy space decomposition on multiangular domain. By using rational approximation, we achieve that a function f inL p ( ∂ Dσ k) can be decomposed into a sum∑ k = 12 nf ∂ Dσ kin the sense ofL p ( ∂ Dσ k) , wheref ∂ Dσ kare the boundary limits of functions inH p ( Dσ k) .