Decomposition of L
                            
                p
              (∂D
                            
                a
              ) space and boundary value of holomorphic functions

The aim of this paper is to characterize the behavior of boundary limits of functions in Hardy space on angular domains. We investigate that the Cauchy integral of a functionWe also prove that the functions in H p (D a ) are the Cauchy integral of their non-tangential boundary limits. In addition, we establish the orthogonality of non-tangential boundary limits of functions in H p (D a ) and H q (D a ).

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Rational function approximation of Hardy space on half strip

Wen

Deng

2018

Complex Variables and Elliptic Equations

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Decomposition of L p (∂D a ) space and boundary value of holomorphic functions

Cited by 3 publications

References 5 publications

The Hardy space decomposition on multiangular domain

The Hardy space decomposition on multiangular domain

Boundary behavior of Hardy spaces on angular domains

Rational function approximation of Hardy space on half strip

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