Two theorems on boundary values of analytic functions-Reference-Cited by-同舟云学术

Two theorems on boundary values of analytic functions

Published:1978 Issue:1 Volume:68 Page:54-58
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Barker S. R.

Abstract

We give a new admissible maximal inequality for analytic functions of several complex variables, and also show that an analytic function which is admissibly bounded at almost all boundary points of a domain D must have an admissible limit a.e. These results are then applied to the boundary behaviour of the Nevanlinna class of D.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1978-068-01/S0002-9939-1978-0499312-3/S0002-9939-1978-0499312-3.pdf

Reference4 articles.

1. 𝐻^{𝑝} spaces of several variables;Fefferman, C.;Acta Math.,1972

2. G. H. Hardy and J. E. Littlewood, Some properties of conjugate functions, J. Reine Angew. Math. 167 (1932), 405-423.

3. Mathematical Notes, No. 11;Stein, E. M.,1972

4. Princeton Mathematical Series, No. 32;Stein, Elias M.,1971

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