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

Showing 2019Show all

3 papers · 1 filter

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…