On the singular numbers for some integral operators.

Alexander Meskhi

Displaying similar documents to “On the singular numbers for some integral operators.”

ℱ-singular and G-cosingular operators

Joe Howard (1970)

Colloquium Mathematicae

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On multilinear singular integrals of Calderón-Zygmund type.

Loukas Grafakos, Rodolfo H. Torres (2002)

Publicacions Matemàtiques

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A variety of results regarding multilinear singular Calderón-Zygmund integral operators is systematically presented. Several tools and techniques for the study of such operators are discussed. These include new multilinear endpoint weak type estimates, multilinear interpolation, appropriate discrete decompositions, a multilinear version of Schur's test, and a multilinear version of the T1 Theorem suitable for the study of multilinear pseudodifferential and translation invariant operators....

Vector valued inequalities for strongly singular Calderón-Zygmund operators.

Josefina Alvarez, Mario Milman (1986)

Revista Matemática Iberoamericana

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In this article we consider a theory of vector valued strongly singular operators. Our results include L^p, H^p and BMO continuity results. Moreover, as is well known, vector valued estimates are closely related to weighted norm inequalities. These results are developed in the first four sections of our paper. In section 5 we use our vector valued singular integrals to estimate the corresponding maximal operators. Finally in section 6 we discuss...

Singular integral models for p-hyponormal operators and the Riemann-Hilbert problem

Muneo Chō, Tadasi Huruya, Masuo Itoh (1998)

Studia Mathematica

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The purpose of this paper is to give singular integral models for p-hyponormal operators and apply them to the Riemann-Hilbert problem.

Generalizations of Mercer's theorem for a class of nonselfadjoint operators

M. R. Dostanić (1989)

Matematički Vesnik

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Factorization of operators on C*-algebras

Narcisse Randrianantoanina (1998)

Studia Mathematica

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Let A be a C*-algebra. We prove that every absolutely summing operator from A into $ℓ_{2}$ factors through a Hilbert space operator that belongs to the 4-Schatten-von Neumann class. We also provide finite-dimensional examples that show that one cannot replace the 4-Schatten-von Neumann class by the p-Schatten-von Neumann class for any p < 4. As an application, we show that there exists a modulus of capacity ε → N(ε) so that if A is a C*-algebra and $T \in Π_{1} (A, ℓ_{2})$ with $π_{1} (T) \leq 1$ , then for every ε >0, the...

On the computation of some quantities in the theory of Fredholm operators

Weis, L. W.

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Fractional powers of hyponormal operators of Putnam type.

Diagana, Toka (2005)

International Journal of Mathematics and Mathematical Sciences

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Boundedness of commutators of singular and potential operators in generalized grand Morrey spaces and some applications

Vakhtang Kokilashvili, Alexander Meskhi, Humberto Rafeiro (2013)

Studia Mathematica

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In the setting of spaces of homogeneous type, it is shown that the commutator of Calderón-Zygmund type operators as well as the commutator of a potential operator with a BMO function are bounded in a generalized grand Morrey space. Interior estimates for solutions of elliptic equations are also given in the framework of generalized grand Morrey spaces.