Boundedness and compactness of multidimensional integral operators with homogeneous kernels-Reference-Cited by-同舟云学术

Boundedness and compactness of multidimensional integral operators with homogeneous kernels

Published:2013-10-25 Issue:11 Volume:57 Page:57-60
ISSN:1066-369X
Container-title:Russian Mathematics
language:en
Short-container-title:Russ Math.

Author:

Avsyankin O. G.,Peretyat’kin F. G.

Publisher

Allerton Press

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.3103/S1066369X13110054.pdf

Reference8 articles.

1. N. Karapetiants and S. Samko, Equations with Involutive Operators (Boston, Basel, Berlin, Birkhäuser, 2001).

2. N. K. Karapetyants, “Necessary Conditions for the Boundedness of an Operator with Nonnegative Quasihomogeneous Kernel,” Matem. Zametki 30(5), 787–794 (1981).

3. N. K. Karapetyants, “Complete Continuity of Some Classes of Operators of Convolution Type with Homogeneous Kernels,” Izv. Vyssh. Uchebn. Zaved. Mat., No. 11, 71–74 (1981) [Soviet Mathematics (Iz. VUZ) 25 (11), 84–88 (1981)].

4. O. G. Avsyankin, “On the Algebra of Pair Integral Operators with Homogeneous Kernels,” Matem. Zametki 73(4), 483–493 (2003).

5. O. G. Avsyankin and N. K. Karapetyants, “Projection Method in the Theory of Integral Operators with Homogeneous Kernels,” Matem. Zametki 75(2), 163–172 (2004).

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