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Boundedness and invertibility of multidimensional integral operators with anisotropically homogeneous kernels in weighted L p -spaces
Luleå tekniska universitet, Institutionen för teknikvetenskap och matematik, Matematiska vetenskaper.
2014 (engelsk)Inngår i: 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, s. 663-672Konferansepaper, Publicerat paper (Fagfellevurdert)
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

sted, utgiver, år, opplag, sider
Melville, NY: American Institute of Physics (AIP), 2014. s. 663-672
Serie
A I P Conference Proceedings Series, ISSN 0094-243X ; 1637
HSV kategori
Forskningsprogram
Matematik
Identifikatorer
URN: urn:nbn:se:ltu:diva-31456DOI: 10.1063/1.4904637ISI: 000347812200080Lokal ID: 5a230170-f690-4778-a677-d233205bc910ISBN: 978-0-7354-1276-7 (tryckt)OAI: oai:DiVA.org:ltu-31456DiVA, id: diva2:1004690
Konferanse
International conference on mathematical problems in engineering, aerosace and sciences : 15/07/2014 - 18/07/2014
Merknad
Validerad; 2015; Nivå 1; 20150119 (andbra)Tilgjengelig fra: 2016-09-30 Laget: 2016-09-30 Sist oppdatert: 2018-07-10bibliografisk kontrollert

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Totalt: 210 treff
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