On Fredholmness of Other Singular-type Operators

Nikolai Karapetiants and Stefan Samko
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Nikolai Karapetiants: Rostov State University, Department of Mathematics
Stefan Samko: Universidade do Algarve, Faculdade de Ciências e Tecnologia

Chapter 2 in Equations with Involutive Operators, 2001, pp 51-109 from Springer

Abstract: Abstract This chapter is devoted to Fredholmness of somewhat less familiar types of operators: those with homogeneous kernels in the one-dimensional case (Section 5) and in the multidimensional case (Section 6), and operators of convolution type with discontinuous symbols (Section 7). We call special attention to Section 7, where we present an approach based on usage of the operators of fractional integration and differentiation to construct the factorization of operators with a discontinuous symbol in direct and effective terms.

Keywords: Integral Operator; Compact Operator; Singular Integral Operator; Convolution Operator; Integrable Kernel (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-0183-0_2

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DOI: 10.1007/978-1-4612-0183-0_2

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