The Hardy space decomposition on multiangular domain | Zendy

Wen Zhihong | Zendy; Deng Guantie | Zendy

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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) .

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