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Functions of bounded second p-variation
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science.ORCID iD: 0000-0002-1172-0113
Department of Mathematics and Systems Analysis, Aalto University, Finland.
2014 (English)In: Revista Matemática Complutense, ISSN 1139-1138, E-ISSN 1988-2807, Vol. 27, p. 69-91Article in journal (Refereed) Published
Abstract [en]

The generalized functionals of Merentes type generate a scale of spaces connecting the class of functions of bounded second p -variation with the Sobolev space of functions with p-integrable second derivative. We prove some limiting relations for these functionals as well as sharp estimates in terms of the fractional modulus of order 2−1/p . These results extend the results in Lind (Math Inequal Appl 16:2139, 2013) for functions of bounded variation but are not consequence of the last.

Place, publisher, year, edition, pages
2014. Vol. 27, p. 69-91
National Category
Natural Sciences Mathematics
Research subject
Mathematics
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URN: urn:nbn:se:kau:diva-30164DOI: 10.1007/s13163-013-0136-0ISI: 000329968400004OAI: oai:DiVA.org:kau-30164DiVA, id: diva2:666571
Available from: 2013-11-22 Created: 2013-11-22 Last updated: 2019-07-12Bibliographically approved

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Barza, Sorina

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