The boundedness and the fredholm property of integral operators with anisotropically homogeneous kernels of compact type and variable coefficients-Reference-Cited by-同舟云学术

The boundedness and the fredholm property of integral operators with anisotropically homogeneous kernels of compact type and variable coefficients

Published:2012-06-28 Issue:7 Volume:56 Page:1-14
ISSN:1066-369X
Container-title:Russian Mathematics
language:en
Short-container-title:Russ Math.

Author:

Deundyak V. M.,Miroshnikova E. I.

Publisher

Allerton Press

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.3103/S1066369X12070018.pdf

Reference22 articles.

1. L. G. Mikhailov, “A New Class of Singular Integral Equations,” Math. Nachr. 76, 91–107 (1977).

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

3. G. H. Hardy, G. E. Littlewood, and G. Pólya, Inequalities (Cambridge University Press, Cambridge, 1934; GIIL, Moscow, 1948).

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

5. O. G. Avsyankin and N. K. Karapetyants, “Algebra of Multidimensional Integral Operators with Homogeneous Hernels with Varying coefficients,” Izv. Vyssh. Uchebn. Zaved. Mat., No. 1, 3–10 (2001) [Russian Mathematics (Iz. VUZ) 45 (1), 1–8 (2001)].

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1. Fredholm Property of Integral Operators with Homogeneous Kernels of Compact Type in the L2 Space on the Heisenberg Group;Proceedings of the Steklov Institute of Mathematics;2020-01

2. Projection method for solving equations for multidimensional operators with anisotropically homogeneous kernels of compact type;Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki;2019-06