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Boundedness and invertibility of multidimensional integral operators with anisotropically homogeneous kernels in weighted L p -spaces
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
2014 (English)In: 10th International conference on mathematical problems in engineering, aerosace and sciences: ICNPAA 2014 : Narvik, Norway, 15–18 July 2014 / [ed] Seenith Sivasundaram, Melville, NY: American Institute of Physics (AIP), 2014, p. 663-672Conference paper, Published paper (Refereed)
Abstract [en]

In weighted space L p ( R n ,ρ), 1 < p < ∞, a new broad class of integral operators with anisotropically homogeneous kernels is investigated. For such operators boundedness theorem is proved. Also the Banach algebra generated by operators with anisotropically homogeneous kernels of compact type is considered. For elements of the algebra symbolic calculation is constructed, the invertibility criterion is obtained in terms of operator symbol

Place, publisher, year, edition, pages
Melville, NY: American Institute of Physics (AIP), 2014. p. 663-672
Series
A I P Conference Proceedings Series, ISSN 0094-243X ; 1637
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-31456DOI: 10.1063/1.4904637ISI: 000347812200080Local ID: 5a230170-f690-4778-a677-d233205bc910ISBN: 978-0-7354-1276-7 (print)OAI: oai:DiVA.org:ltu-31456DiVA, id: diva2:1004690
Conference
International conference on mathematical problems in engineering, aerosace and sciences : 15/07/2014 - 18/07/2014
Note
Validerad; 2015; Nivå 1; 20150119 (andbra)Available from: 2016-09-30 Created: 2016-09-30 Last updated: 2018-07-10Bibliographically approved

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Miroshnikova, Elena

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