A. Lebre

activity

20102017

most citedOn regularization of Mellin PDO's with slowly oscillating symbols of limited smoothness

3 citations · 3 across the 5 of their papers we have counts for

collaborators

5 papers

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…

math.FA2014★ 3 cited

On regularization of Mellin PDO's with slowly oscillating symbols of limited smoothness

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

We study Mellin pseudodifferential operators (shortly, Mellin PDO's) with symbols in the algebra $E (R_{+}, V (R))$ of slowly oscillating functio…

math.FA2010

Necessary Conditions for Fredholmness of Singular Integral Operators with Shifts and Slowly Oscillating Data

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

Suppose $α$ is an orientation-preserving diffeomorphism (shift) of $\mR_+=(0,\infty)$ onto itself with the only fixed points $0$ and $\infty$ . In \cite{KKLsufficiency} we found suf…

math.FA2010

Sufficient Conditions for Fredholmness of Singular Integral Operators with Shifts and Slowly Oscillating Data

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

Suppose $α$ is an orientation preserving diffeomorphism (shift) of $\mR_+=(0,\infty)$ onto itself with the only fixed points $0$ and $\infty$ . We establish sufficient conditions fo…