A. Lerner

most citedCommutators of singular integrals on generalized

L^{p}

spaces with variable exponent

4 citations · 7 across the 3 of their papers we have counts for

collaborators

3 papers

math.CA2004

On modular inequalities in variable L^p spaces

Andrei K. Lerner

We show that the Hardy-Littlewood maximal operator and a class of Calderón-Zygmund singular integrals satisfy the strong type modular inequality in variable $L^{p}$ spaces if and onl…

math.CA2004★ 4 cited

Commutators of singular integrals on generalized $L^{p}$ spaces with variable exponent

Alexei Yu. Karlovich, Andrei K. Lerner

A classical theorem of Coifman, Rochberg, and Weiss on commutators of singular integrals is extended to the case of generalized $L^{p}$ spaces with variable exponent.

math.CA2003★ 3 cited

On multidimensional F. Riesz's "Rising Sun" Lemma

A. A. Korenovskyy, A. K. Lerner, A. M Stokolos

A multidimensional version of the Riesz rising sun lemma is proved by means of a generalized dyadic process.

On modular inequalities in variable L^p spaces

Commutators of singular integrals on generalized Lp spaces with variable exponent

On multidimensional F. Riesz's "Rising Sun" Lemma

Commutators of singular integrals on generalized $L^{p}$ spaces with variable exponent