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Corpus ID: 119594480

On some extremal problems in certain harmonic function spaces of several variables related to mixed norm spaces

@inproceedings{FShamoyan2012OnSE,
title={On some extremal problems in certain harmonic function spaces of several variables related to mixed norm spaces},
author={Romi F.Shamoyan},
year={2012}
}

Some estimates on distances in spaces of harmonic functions in the unit ball and the upper half space are provided. New estimates concerning mixed norm spaces and general weighted Bergman spaces are obtained and discussed.

We give solutions to some extremal problems involving distance function in mixed normed spaces of harmonic functions on the unit ball in R n . Acknowledgement. Supported by Ministry of Science,… Expand

We provide various new sharp estimates for distances of
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Distance formulas from Bloch functions to some Mobius invariant function spaces are given. These results generalize the distance formula from Blocli functions to BMOA by Peter Jones. As consequences,… Expand

The authors present a unified treatment of basic topics that arise in Fourier analysis. Their intention is to illustrate the role played by the structure of Euclidean spaces, particularly the action… Expand

AbstractWe study harmonic Bergman functions on the unit ball B in Rn. Among our main results are: For the Bergman kernel Kα(x, y) of the orthogonal projection Pα of L2,α-1 onto the harmonic Bergman… Expand