Boundary behavior of subharmonic functions in nontangential accessible domains

Shiying Zhao

ArticleOriginal scientific text

Title

Boundary behavior of subharmonic functions in nontangential accessible domains

Authors ¹

Affiliations

Department of Mathematics and Computer Science, University of Missouri-St. Louis, St. Louis, Missouri 63121, U.S.A.

Abstract

The following results concerning boundary behavior of subharmonic functions in the unit ball of

ℝ^{n}

are generalized to nontangential accessible domains in the sense of Jerison and Kenig [7]: (i) The classical theorem of Littlewood on the radial limits. (ii) Ziomek's theorem on the

L^{p}

-nontangential limits. (iii) The localized version of the above two results and nontangential limits of Green potentials under a certain nontangential condition.

Keywords

ENG

subharmonic function, Green potential, boundary limit, NTA domain

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Title

Boundary behavior of subharmonic functions in nontangential accessible domains

Affiliations

Abstract

Keywords

Bibliography