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 …

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 …

In this paper, we study the structure of the discrete Muckenhoupt class A p (C) A^p(C) and
the discrete Gehring class G q (K) G^q(K). In particular, we prove that the self-improving …

Applying the theory of pseudodifferential and Calderón-Zygmund operators, we study the
compactness of commutators of multiplication operators aI and convolution operators W^ 0 …

In this paper, we prove some basic properties of the discrete Muckenhoupt class A p A^p
and the discrete Gehring class G q G^q. These properties involve the self-improving …

The discrete Wiener-Hopf operator generated by a function a(e^iθ) with the Fourier series
∑_n∈ℤa_ne^inθ is the operator T (a) induced by the Toeplitz matrix (a_jk)_j,k=0^∞ on …

In this paper, we will provide a complete study of the self-improving properties of the discrete
Muckenhoupt class 𝒜 p⁢(𝒞) of weights defined on ℤ+. In addition, we will determine the …

Let B _ p, w be the Banach algebra of all bounded linear operators acting on the weighted
Lebesgue space L^ p (R, w), where p ∈ (1, ∞) and w is a Muckenhoupt weight. We study …

We establish Fredholm criteria and index formulas for one-dimensional zero-order
pseudodifferential operators with piecewise continuous generating functions on L p spaces …

Mellin convolution equations acting in Bessel potential spaces are considered. The study is
based upon two results. The first one concerns the interaction of Mellin convolutions and …