New characterizations of bergman spaces

Miroslav Pavlović; Kehe Zhu

New characterizations of bergman spaces

Miroslav Pavlović
, Kehe Zhu

Mathematics and Statistics

University at Albany

University of Belgrade

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

10 Scopus citations

Abstract

We obtain several new characterizations for the standard weighted Bergman spaces A^p_α on the unit ball of Cⁿ in terms of the radial derivative, the holomorphic gradient, and the invariant gradient.

Original language	English
Pages (from-to)	87-99
Number of pages	13
Journal	Annales Academiae Scientiarum Fennicae Mathematica
Volume	33
State	Published - 2008

Keywords

Bergman spaces
Gradient
Invariant gradient
Radial derivative

Cite this

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title = "New characterizations of bergman spaces",

abstract = "We obtain several new characterizations for the standard weighted Bergman spaces Apα on the unit ball of Cn in terms of the radial derivative, the holomorphic gradient, and the invariant gradient.",

keywords = "Bergman spaces, Gradient, Invariant gradient, Radial derivative",

author = "Miroslav Pavlovi{\'c} and Kehe Zhu",

year = "2008",

language = "English",

volume = "33",

pages = "87--99",

journal = "Annales Academiae Scientiarum Fennicae Mathematica",

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T1 - New characterizations of bergman spaces

AU - Pavlović, Miroslav

AU - Zhu, Kehe

PY - 2008

Y1 - 2008

N2 - We obtain several new characterizations for the standard weighted Bergman spaces Apα on the unit ball of Cn in terms of the radial derivative, the holomorphic gradient, and the invariant gradient.

AB - We obtain several new characterizations for the standard weighted Bergman spaces Apα on the unit ball of Cn in terms of the radial derivative, the holomorphic gradient, and the invariant gradient.

KW - Bergman spaces

KW - Gradient

KW - Invariant gradient

KW - Radial derivative

UR - https://www.scopus.com/pages/publications/45049083667

M3 - Article

SN - 1239-629X

VL - 33

SP - 87

EP - 99

JO - Annales Academiae Scientiarum Fennicae Mathematica

JF - Annales Academiae Scientiarum Fennicae Mathematica

ER -

New characterizations of bergman spaces

Abstract

Keywords

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