RUS  ENG
Full version
JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive
Izv. RAN. Ser. Mat., 2014 Volume 78, Issue 4, Pages 207–223 (Mi im8026)
This article is cited in 11 papers

Boundedness of integral operators in weighted Sobolev spaces

R. Oinarov

L. N. Gumilev Eurasian National University, Astana

Abstract: We obtain criteria for some classes of integral operators of Volterra type to be bounded operators from one weighted Sobolev space into another weighted Sobolev space.

Keywords: integral operators, weighted Lebesgue space, weighted Sobolev space, boundedness.

UDC: 517.51

MSC: 26D10, 45D05, 47B38, 47G10

Received: 02.07.2012
Revised: 11.03.2013

DOI: 10.4213/im8026


 English version: Izvestiya: Mathematics, 2014, 78:4, 836–853

Bibliographic databases:

© Steklov Math. Inst. of RAS, 2025