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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Hardy spaces and partial derivatives of conjugate harmonic functions


Authors: Anatoly Ryabogin and Dmitry Ryabogin
Journal: Proc. Amer. Math. Soc. 135 (2007), 2461-2470
MSC (2000): Primary 30E25; Secondary 42B25
Published electronically: April 5, 2007
MathSciNet review: 2302567
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Abstract: In this paper we give necessary and sufficient conditions for a harmonic vector and all its partial derivatives to belong to $ H^p(\mathbf{R}^{n+1}_+)$ for all $ p>0$.


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Additional Information

Anatoly Ryabogin
Affiliation: Department of Mathematics, Ben Gurion University of the Negev, P.O.B. 653, Be’er Sheva 84105, Israel
Email: ryabs@math.ksu.edu

Dmitry Ryabogin
Affiliation: Department of Mathematics, Kansas State University, Manhattan, Kansas 66506-2602
Email: ryabs@math.ksu.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-07-08940-X
PII: S 0002-9939(07)08940-X
Keywords: Hardy spaces, subharmonic functions
Received by editor(s): January 31, 2006
Published electronically: April 5, 2007
Communicated by: Mei-Chi Shaw
Article copyright: © Copyright 2007 American Mathematical Society