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OPTIMAL ESTIMATES FOR THE GRADIENT OF HARMONIC FUNCTIONS IN THE MULTIDIMENSIONAL HALF-SPACE
Ariel University Centre Samaria.
Linköping University, Department of Mathematics, Applied Mathematics. Linköping University, The Institute of Technology.
2010 (English)In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, ISSN 1078-0947, Vol. 28, no 2, 425-440 p.Article in journal (Refereed) Published
Abstract [en]

A representation of the sharp constant in a pointwise estimate of the gradient of a harmonic function in a multidimensional half-space is obtained under the assumption that functions boundary values belong to L-p. This representation is concretized for the cases p = 1,2, and infinity.

Place, publisher, year, edition, pages
Aims Press , 2010. Vol. 28, no 2, 425-440 p.
Keyword [en]
Real-part theorems, multidimensional harmonic functions, estimates of the gradient, Khavinsons problem
National Category
Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-56303DOI: 10.3934/dcds.2010.28.425ISI: 000277007200001OAI: oai:DiVA.org:liu-56303DiVA: diva2:318301
Available from: 2010-05-07 Created: 2010-05-07 Last updated: 2010-05-07

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Maz´ya, Vladimir

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