Y. Karlovich

activity

20002020

most citedNoncompactness of Fourier Convolution Operators on Banach Function Spaces

7 citations · 11 across the 11 of their papers we have counts for

collaborators

11 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.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…

math.FA2017

Semi-Fredholmness of weighted singular integral operators with shifts and slowly oscillating data

Alexei Yu. Karlovich, Yuri I. Karlovich, Amarino B. Lebre

Let $α, β$ be orientation-preserving homeomorphisms of $[0, \infty]$ onto itself, which have only two fixed points at $0$ and $\infty$ , and whose restrictions to $\mathbb{R}_+=(0,\in…

math.FA2015

On a Weighted Singular Integral Operator with Shifts and Slowly Oscillating Data

Alexei Yu. Karlovich, Yuri I. Karlovich, Amarino B. Lebre

Let $α, β$ be orientation-preserving diffeomorphism (shifts) of $R_{+} = (0, \infty)$ onto itself with the only fixed points $0$ and $\infty$ and $U_{α}, U_{β}$ be the isometric shif…