[图书][B] Carleson curves, Muckenhoupt weights, and Toeplitz operators

A Böttcher, YI Karlovich - 1997 - books.google.com
Award-winning monograph of the Ferran Sunyer i Balaguer Prize 1997. This book is a self-
contained exposition of the spectral theory of Toeplitz operators with piecewise continuous …

[图书][B] Convolution operators and factorization of almost periodic matrix functions

A Böttcher, YI Karlovich, IM Spitkovsky - 2002 - books.google.com
This book is an introduction to convolution operators with matrix-valued almost periodic or
semi-almost periodic symbols. The basic tools for the treatment of the operators are Wiener …

[图书][B] Non-commutative Gelfand theories: a tool-kit for operator theorists and numerical analysts

S Roch, PA Santos, B Silbermann - 2010 - books.google.com
Written as a hybrid between a research monograph and a textbook the first half of this book
is concerned with basic concepts for the study of Banach algebras that, in a sense, are not …

Algebras of singular integral operators with piecewise continuous coefficients on reflexive Orlicz spaces

AY Karlovich - Mathematische Nachrichten, 1996 - Wiley Online Library
We consider singular integral operators with piecewise continuous coefficients on reflexive
Orlicz spaces Lm (σ) which are generalizations of the Lebesgue spaces LP (σ), 1< p<∞. We …

Banach algebras generated by N idempotents and applications

A Böttcher, I Gohberg, YI Karlovich, N Krupnik… - … Integral Operators and …, 1996 - Springer
It is well known that for Banach algebras generated by two idempotents and the identity all
irreducible representations are of order not greater than two. These representations have …

Algebras of singular integral operators with PC coefficients in rearrangement-invariant spaces with Muckenhoupt weights

AY Karlovich - Journal of Operator Theory, 2002 - JSTOR
In this paper we extend results on Fredholmness of singular integral operators with
piecewise continuous coefficients in reflexive rearrangement-invariant spaces X (Γ) with …

Algebras of singular integral operators on compound contours with nodes that are logarithmic whirl points

VS Rabinovich - Izvestiya: Mathematics, 1996 - iopscience.iop.org
This article treats the Banach algebra generated by singular integral operators acting in the
space, where is a power weight and a compound contour with nodes that are whirl points of …

Mellin pseudodifferential operators techniques in the theory of singular integral operators on some Carleson curves

VS Rabinovich - … and Integral Operators: International Workshop on …, 1998 - Springer
We consider an algebra A p (Γ, ω) of singular integral operators with slowly oscillating
bounded coefficients acting in L p (Γ, ω), 1< p<∞, where Γ is a composed Carleson curve …

Toeplitz operators with PC symbols on general Carleson Jordan curves with arbitrary Muckenhoupt weights

A Böttcher, Y Karlovich - Transactions of the American Mathematical …, 1999 - ams.org
We describe the spectra and essential spectra of Toeplitz operators with piecewise
continuous symbols on the Hardy space $ H^ p (\Gamma,\omega) $ in case $1< p<\infty …

Singular integral operators with fixed singularities on weighted Lebesgue spaces

YI Karlovich, E Ramírez de Arellano - Integral Equations and Operator …, 2004 - Springer
The paper is devoted to study of singular integral operators with fixed singularities at
endpoints of contours on weighted Lebesgue spaces with general Muckenhoupt weights …