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Weighted inequalities for a class of matrix operators: the case of p≤q
Faculty of Mathematics and Information Technologies, Eurasian National University, Munaitpasov st., 5, Astana.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
Faculty of Mathematics and Information Technologies, Eurasian National University, Munaitpasov st., 5, Astana.
2009 (English)In: Mathematical Inequalities & Applications, ISSN 1331-4343, E-ISSN 1848-9966, Vol. 12, no 4, p. 891-903Article in journal (Refereed) Published
Abstract [en]

We prove a new discrete Hardy-type inequality ||A/||q,u ≤ C||f||p,v, where the matrix operator A is defined by (Af) i:= Σj=1i ai,jfj, ai,j ≥ 0. Moreover, we study die problem of compactness of the operator A, and die dual result is stated

Place, publisher, year, edition, pages
2009. Vol. 12, no 4, p. 891-903
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-5239Local ID: 34812f80-e566-11de-bae5-000ea68e967bOAI: oai:DiVA.org:ltu-5239DiVA, id: diva2:978113
Note
Validerad; 2009; 20091210 (evan)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2017-11-24Bibliographically approved

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Persson, Lars-Erik

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