Derivatives of hardy functions

Boo Rim Choe

doi:10.1090/S0002-9939-1990-1028041-8

Derivatives of hardy functions

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

Abstract

Let B be the open unit ball of Cⁿ, and set S = dB. It is shown that if φ ∈ L^P(S), φ 0, is a lower semicontinuous function on S and 1/q l + l/p, then, for a given, there exists a function f∈ H^P(B) with f(0) = 0 such that f* = φ almost everywhere on 5 and where V denotes the normalized volume measure on B.

Original language	English
Pages (from-to)	781-787
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	110
Issue number	3
DOIs	https://doi.org/10.1090/S0002-9939-1990-1028041-8
Publication status	Published - 1990 Nov
Externally published	Yes

Keywords

Derivatives
H-functions

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9939-1990-1028041-8

Cite this

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AB - Let B be the open unit ball of Cn, and set S = dB. It is shown that if φ ∈ LP(S), φ 0, is a lower semicontinuous function on S and 1/q l + l/p, then, for a given, there exists a function f∈ HP(B) with f(0) = 0 such that f* = φ almost everywhere on 5 and where V denotes the normalized volume measure on B.

KW - Derivatives

KW - H-functions

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Derivatives of hardy functions

Abstract

Keywords

ASJC Scopus subject areas

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