A. Karlovich

activity

20002020

most citedNoncompactness of Fourier Convolution Operators on Banach Function Spaces

7 citations · 29 across the 39 of their papers we have counts for

collaborators

44 papers

math.FA2020

Calkin images of Fourier convolution operators with slowly oscillating symbols

Cláudio A. Fernandes, Alexei Yu. Karlovich, Yuri I. Karlovich

Let $Φ$ be a $C^{*}$ -subalgebra of $L^{\infty} (R)$ and $S O_{X (R)}^{⋄}$ be the Banach algebra of slowly oscillating Fourier multipliers on a Banach function space…

math.FA2020

Algebras of convolution type operators with continuous data do not always contain all rank one operators

Alexei Karlovich, Eugene Shargorodsky

Let $X (R)$ be a separable Banach function space such that the Hardy-Littlewood maximal operator is bounded $X (R)$ and on its associate space $X^{'} (R)$ . The…

math.FA2020

Multiplication is an open bilinear mapping in the Banach algebra of functions of bounded Wiener p-variation

Tiago Canarias, Alexei Karlovich, Eugene Shargorodsky

Let $B V_{p} [0, 1]$ , $1 \leq p < \infty$ , be the Banach algebra of functions of bounded $p$ -variation in the sense of Wiener. Recently, Kowalczyk and Turowska \cite{KT19} proved that the m…

math.FA2019

Fourier convolution operators with symbols equivalent to zero at infinity on Banach function spaces

Cláudio A. Fernandes, Alexei Yu. Karlovich, Yuri I. Karlovich

We study Fourier convolution operators $W^{0} (a)$ with symbols equivalent to zero at infinity on a separable Banach function space $X (R)$ such that the Hardy-Littlewood maxi…

math.FA2019★ 7 cited

Noncompactness of Fourier Convolution Operators on Banach Function Spaces

Cláudio A. Fernandes, Alexei Yu. Karlovich, Yuri I. Karlovich

Let $X (R)$ be a separable Banach function space such that the Hardy-Littlewood maximal operator $M$ is bounded on $X (R)$ and on its associate space $X'(\mathbb{R}…

math.FA2019

Algebra of convolution type operators with continuous data on Banach function spaces

Cláudio A. Fernandes, Alexei Yu. Karlovich, Yuri I. Karlovich

We show that if the Hardy-Littlewood maximal operator is bounded on a reflexive Banach function space $X (R)$ and on its associate space $X^{'} (R)$ , then the space $X…