Partial integral operators on \(C([a,b]\times[c,d])\)

DOI10.1007/BF01191528zbMath0891.45012MaRDI QIDQ1378029

E. V. Frolova, A. S. Kalitvin, Peter P. Zabreĭko, Jürgen Appell

Publication date: 4 March 1998

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

boundednessbounded linear operatorsidealsalgebraspartial integral operator

Mathematics Subject Classification ID

Integral operators (45P05) Linear operators on function spaces (general) (47B38) Integral operators (47G10) Algebras of operators on Banach spaces and other topological linear spaces (47L10) Ideals and subalgebras (46H10)

Related Items (6)

On Volterra partial integral equations in the space of continuous functions of three variables ⋮ Decompositions of weighted conditional expectation type operators ⋮ Linear operators and equations with partial integrals ⋮ On a class of integral equations in the space of continuous functions ⋮ Abstract Volterra equations of the second kind ⋮ Multiplication conditional expectation type operators on Orlicz spaces

Cites Work

• The spaces \(L^ p\), with mixed norm
• The method of discrete singularities in plane problems of the theory of elasticity
• Boundary value problems in abstract kinetic theory
• On the theory of partial integral operators
• Transport theory in \(L_ p\)-spaces
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