Rational function approximation of Hardy space on half strip

Wen, Zhihong; Deng, Guantie; Qu, Feifei

doi:10.1080/17476933.2018.1447931

Cited by 2 publications

(1 citation statement)

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“…For the difficult case 0 < p < 1, they obtained (see [3]) the analogous result. Then other authors [7,15,16] studied the same problem of Hardy spaces on unit circle, on half strip and on angular domain, respectively. The great attention has been devoted to the study of boundary behavior of Hardy spaces problem, not only for pure mathematical reason, but also for some application reasons.…”

Section: Introductionmentioning

confidence: 99%

Boundary behavior of Hardy spaces on angular domains

Wen

Deng

2019

Banach J. Math. Anal.

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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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Section: Introductionmentioning

confidence: 99%

Boundary behavior of Hardy spaces on angular domains

Wen

Deng

2019

Banach J. Math. Anal.

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On the Decomposition Problem for Functions of Small Exponential Type

Voitovych

2023

BMJ

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The technique of decomposition for functions into the sum or product of two functions is often used to facilitate the study of properties of functions. Some decomposition problems in the weighted Hardy space, Paley-Wiener space, and Bergman space are well known. Usually, in these spaces, functions are represented as the sum of two functions, each of them is "big" only in the first or only in the second quarter. The problem of decomposition of functions has practical applications, particularly in information theory. In these applications, it is often necessary to find those solutions of the decomposition problem whose growth on the negative real semi-axis is "small". In this article we consider the decomposition problem for an entire function of any small exponential type in $\{z:\Re z<0\}$. We obtain conditions for the existence of solutions of the above problem.

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Rational function approximation of Hardy space on half strip

Cited by 2 publications

References 9 publications

Boundary behavior of Hardy spaces on angular domains

Boundary behavior of Hardy spaces on angular domains

On the Decomposition Problem for Functions of Small Exponential Type

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