## Hardy spaces and partial derivatives of conjugate harmonic functions

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- by Anatoly Ryabogin and Dmitry Ryabogin
- Proc. Amer. Math. Soc.
**135**(2007), 2461-2470 - DOI: https://doi.org/10.1090/S0002-9939-07-08940-X
- Published electronically: April 5, 2007
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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 $p>0$.## References

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## Bibliographic Information

**Anatoly Ryabogin**- Affiliation: Department of Mathematics, Ben Gurion University of the Negev, P.O.B. 653, Beβer 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
- Received by editor(s): January 31, 2006
- Published electronically: April 5, 2007
- Communicated by: Mei-Chi Shaw
- © Copyright 2007 American Mathematical Society
- Journal: Proc. Amer. Math. Soc.
**135**(2007), 2461-2470 - MSC (2000): Primary 30E25; Secondary 42B25
- DOI: https://doi.org/10.1090/S0002-9939-07-08940-X
- MathSciNet review: 2302567