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Sharp estimates for the gradient of the generalized Poisson integral for a half-space
Ariel Univ, Israel.
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, Faculty of Science & Engineering. Univ Liverpool, England.
2018 (English)In: Georgian Mathematical Journal, ISSN 1072-947X, E-ISSN 1572-9176, Vol. 25, no 2, p. 283-290Article in journal (Refereed) Published
Abstract [en]

A representation of the sharp coefficient in a pointwise estimate for the gradient of the generalized Poisson integral of a function f on R-n is obtained under the assumption that f belongs to L-p. The explicit value of the coefficient is found for the cases p = 1 and p = 2.

Place, publisher, year, edition, pages
WALTER DE GRUYTER GMBH , 2018. Vol. 25, no 2, p. 283-290
Keywords [en]
Generalized Poisson integral; sharp estimate for the gradient; half-space
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-148644DOI: 10.1515/gmj-2018-0026ISI: 000433245300014OAI: oai:DiVA.org:liu-148644DiVA, id: diva2:1220000
Available from: 2018-06-18 Created: 2018-06-18 Last updated: 2018-06-18

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Mazya, Vladimir
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Mathematics and Applied MathematicsFaculty of Science & Engineering
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