Topological methods in solvability theory of multidimensional pair integral operators with homogeneous kernels of compact type-Reference-Cited by-同舟云学术

Topological methods in solvability theory of multidimensional pair integral operators with homogeneous kernels of compact type

Published:2012-10 Issue:1 Volume:278 Page:51-59
ISSN:0081-5438
Container-title:Proceedings of the Steklov Institute of Mathematics
language:en
Short-container-title:Proc. Steklov Inst. Math.

Author:

Deundyak V. M.

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Link

http://link.springer.com/content/pdf/10.1134/S0081543812060065.pdf

Reference16 articles.

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

2. N. K. Karapetyants, “Necessary Conditions for the Boundedness of an Operator with Nonnegative Quasihomogeneous Kernel,” Mat. Zametki 30(5), 787–794 (1981) [Math. Notes 30, 893–897 (1981)].

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

4. O. G. Avsyankin and N. K. Karapetiants, “Algebra of Multidimensional Integral Operators with Homogeneous Kernels with Varying Coefficients,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 1, 3–10 (2001) [Russ. Math. 45 (1), 1–8 (2001)].

5. O. G. Avsyankin, “On the Algebra of Pair Integral Operators with Homogeneous Kernels,” Mat. Zametki 73(4), 483–493 (2003) [Math. Notes 73, 457–466 (2003)].

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