Add to ORKGWeighted inequalities for certain Hardy-type averaging operators in Rn are shown to be equivalent to weighted inequalities for one-dimensional operators. Known re-sults for the one-dimensional operators are applied to give weight characterisations, with best constants in some cases, in the higher dimensional setting. Operators considered include averages over all dilations of very general starshaped regions as well as averages over all balls touching the origin. As a consequence, simple weight conditions are given which imply weighted norm inequalities for a class of integral operators with monotone kernels. 1
Weighted norm inequalities for singular integral operators satisfying a variant of Hörmander’s cond...
summary:In this paper we establish weighted norm inequalities for singular integral operators with k...
AbstractThis is the first part of a series of four articles. In this work, we are interested in weig...
summary:If $P$ is the Hardy averaging operator - or some of its generalizations, then weighted modul...
Necessary and sufficient conditions for the weight function $u$ are obtained, which provide the boun...
This PhD thesis consists of an introduction and six papers. All these papers are devoted to Lebesgue...
Abstract. Mapping properties between weighted Lebesgue spaces of the operator that integrates a func...
Abstract. A generalization is obtained for a non-negative weight function w for which there is a non...
AbstractWe prove very general weighted norm inequalities for rough maximal and singular integral ope...
The objective of this talk is to present three new Hardy-type inequalities in which the arithmetic m...
Abstract. Characterizations are obtained for those pairs of weight functions u and v for which the o...
We consider maximal singular integral operators arising from rough kernels satisfying an H1-type con...
This thesis deals with various generalizations of two famous inequalities namely the Hardy inequalit...
AbstractLet 0<α<1 and Tα:f↦(1/[(1−α)x])(∫xαxf), x⩾0. A factorization theorem is given, which provide...
AbstractFor bounded Lebesgue measurable functionsα,βon the unit circle,Sα,β=αP++βP−is called a singu...
Weighted norm inequalities for singular integral operators satisfying a variant of Hörmander’s cond...
summary:In this paper we establish weighted norm inequalities for singular integral operators with k...
AbstractThis is the first part of a series of four articles. In this work, we are interested in weig...
summary:If $P$ is the Hardy averaging operator - or some of its generalizations, then weighted modul...
Necessary and sufficient conditions for the weight function $u$ are obtained, which provide the boun...
This PhD thesis consists of an introduction and six papers. All these papers are devoted to Lebesgue...
Abstract. Mapping properties between weighted Lebesgue spaces of the operator that integrates a func...
Abstract. A generalization is obtained for a non-negative weight function w for which there is a non...
AbstractWe prove very general weighted norm inequalities for rough maximal and singular integral ope...
The objective of this talk is to present three new Hardy-type inequalities in which the arithmetic m...
Abstract. Characterizations are obtained for those pairs of weight functions u and v for which the o...
We consider maximal singular integral operators arising from rough kernels satisfying an H1-type con...
This thesis deals with various generalizations of two famous inequalities namely the Hardy inequalit...
AbstractLet 0<α<1 and Tα:f↦(1/[(1−α)x])(∫xαxf), x⩾0. A factorization theorem is given, which provide...
AbstractFor bounded Lebesgue measurable functionsα,βon the unit circle,Sα,β=αP++βP−is called a singu...
Weighted norm inequalities for singular integral operators satisfying a variant of Hörmander’s cond...
summary:In this paper we establish weighted norm inequalities for singular integral operators with k...
AbstractThis is the first part of a series of four articles. In this work, we are interested in weig...