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Boundedness of Hardy-type operators with a kernel: integral weighted conditions for the case $0<q<1\le p<\infty$
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science. Charles University in Prague, Department of Mathematical Analysis.ORCID iD: 0000-0003-0234-1645
(English)Article in journal (Refereed) Submitted
Abstract [en]

Boundedness of a fundamental Hardy-type operator with a kernel is characterized between weighted Lebesgue spaces $L^p(v)$ and $L^q(w)$ for $0<q<1\le p<\infty$. The conditions are explicit and have a standard integral form.

Keyword [en]
Hardy operators, Oinarov kernel, weighted Lebesgue spaces, weighted inequalities, integral operators
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-41241OAI: oai:DiVA.org:kau-41241DiVA: diva2:917049
Available from: 2016-04-05 Created: 2016-04-05 Last updated: 2016-11-03Bibliographically approved
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Křepela, Martin
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