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ArticleOriginal scientific text

Title

Convergence in nonisotropic regions of harmonic functions in ^n

Authors 1, 1

Affiliations

  1. Departament de Matemàtica Aplicada i Anàlisi, Facultat de Matemàtiques, Universitat de Barcelona, Gran Via 585, 08071 Barcelona, Spain

Abstract

We study the boundedness in Lp(^n) of the projections onto spaces of functions with spectrum contained in horizontal strips. We obtain some results concerning convergence along nonisotropic regions of harmonic extensions of functions in Lp(^n) with spectrum included in these horizontal strips.

Keywords

ENG
harmonic and holomorphic functions, tangential convergence

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Studia Mathematica
1999/134/3
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Pages:
269-298
Main language of publication
English
Received
1998-10-14
Accepted
1998-11-10
Published
1999
Exact and natural sciences