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Sharp pointwise interpolation inequalities for derivatives
Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.
Linköping University, Department of Mathematics, Applied Mathematics. Linköping University, The Institute of Technology.
2002 (English)In: Functional analysis and its applications, ISSN 0016-2663, E-ISSN 1573-8485, Vol. 36, no 1, 30-48 p.Article in journal (Refereed) Published
Abstract [en]

We prove new point-wise inequalities involving the gradient of a function u is an element of C-1(R-n), the modulus of continuity w of the gradient delu, and a certain maximal function M(lozenge)u and show that these inequalities are sharp. A simple particular case corresponding to n = 1 and w(r) = r is the Landau type inequality [GRAPHIC] where the constant 8/3 is best possible and [GRAPHIC]

Place, publisher, year, edition, pages
2002. Vol. 36, no 1, 30-48 p.
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Engineering and Technology
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URN: urn:nbn:se:liu:diva-48926OAI: oai:DiVA.org:liu-48926DiVA: diva2:269822
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2010-11-12

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Maz´ya, Vladimir G.Shaposhnikova, Tatyana

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