Characterizations of Hardy-type, Bergman-type and Dirichlet-type spaces on certain classes of complex-valued functions

Shaolin Chen; Antti Rasila; Matti Vuorinen

doi:10.5186/AASFM.2019.4426

Characterizations of Hardy-type, Bergman-type and Dirichlet-type spaces on certain classes of complex-valued functions

Shaolin Chen, Antti Rasila, Matti Vuorinen

Mathematics with Computer Science

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In this paper, we continue our investigation of function spaces on certain classes of complex-valued functions. In particular, we give characterizations on Hardy-type, Bergman-type and Dirichlet-type spaces. Furthermore, we present applications of our results to certain nonlinear PDEs.

Original language	English
Pages (from-to)	427-448
Number of pages	22
Journal	Annales Academiae Scientiarum Fennicae Mathematica
Volume	44
Issue number	1
DOIs	https://doi.org/10.5186/AASFM.2019.4426
State	Published - 2019

Keywords

Bergman-type space
Dirichlet-type space
Hardy-type space

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abstract = "In this paper, we continue our investigation of function spaces on certain classes of complex-valued functions. In particular, we give characterizations on Hardy-type, Bergman-type and Dirichlet-type spaces. Furthermore, we present applications of our results to certain nonlinear PDEs.",

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AU - Rasila, Antti

AU - Vuorinen, Matti

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AB - In this paper, we continue our investigation of function spaces on certain classes of complex-valued functions. In particular, we give characterizations on Hardy-type, Bergman-type and Dirichlet-type spaces. Furthermore, we present applications of our results to certain nonlinear PDEs.

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KW - Hardy-type space

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Characterizations of Hardy-type, Bergman-type and Dirichlet-type spaces on certain classes of complex-valued functions

Abstract

Keywords

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