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Inequalities for partial moduli of continuity and partial derivatives
Karlstad University, Faculty of Technology and Science, Department of Mathematics.ORCID iD: 0000-0001-5459-0796
2011 (English)In: Constructive approximation, ISSN 0176-4276, E-ISSN 1432-0940, Vol. 34, no 1, 23-59 p.Article in journal (Refereed) Published
Abstract [en]

We obtain pointwise and integral type estimates of higher-order partial moduli of continuity in C via partial derivatives. Also, a Gagliardo–Nirenberg type inequality for partial derivatives in a fixed direction is proved. Our methods enable us to study the case when different partial derivatives belong to different spaces, including the space L

Place, publisher, year, edition, pages
Springer, 2011. Vol. 34, no 1, 23-59 p.
Keyword [en]
Moduli of continuity, Gagliardo–Nirenberg type inequalities, Sobolev spaces, Besov norms, Embeddings, Rearrangements
National Category
Natural Sciences
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-9180DOI: 10.1007/s00365-010-9088-5ISI: 000290805700002OAI: oai:DiVA.org:kau-9180DiVA: diva2:476731
Available from: 2012-01-12 Created: 2012-01-12 Last updated: 2016-04-08Bibliographically approved

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