A characterization of two weight norm inequalities for one-sided operators of fractional type

Lorente M

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A characterization of two weight norm inequalities for one-sided operators of fractional type

机译：分式单边算子的两个权范数不等式的刻画

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摘要

In this paper we give a characterization of the pairs of weights (omega, nu) such that T maps LP(nu) into L-q(omega), where T is a general one sided operator that includes as a particular case the Weyl fractional integral. As an application we solve the following problem: given a weight nu, when is there a nontrivial weight omega such that T maps LP(nu) into L-q(omega)?

机译：在本文中，我们对权重对（ω，nu）进行了表征，以使T将LP（nu）映射为L-q（ω），其中T是一般的单侧算子，其中包括Weyl分数积分。作为应用程序，我们解决了以下问题：给定权重nu，何时会有非平凡的权重ω使得T将LP（nu）映射为L-q（ω）？

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《Canadian Journal of Mathematics》 |1997年第5期|共24页
作者
Lorente M;
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正文语种 eng
中图分类数学;
关键词
Weyl fractional integral; weights;

机译：Weyl分数积分;权重;

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1. A characterization of two weight norm inequalities for one-sided operators of fractional type [J] . Lorente M Canadian Journal of Mathematics . 1997,第5期

机译：分式单边算子的两个权范数不等式的刻画
2. Two-Weight, Weak-Type Norm Inequalities for Fractional Integral Operators and Commutators on Weighted Morrey and Amalgam Spaces [J] . Hua Wang Abstract and applied analysis . 2020,第16期

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3. Fractional integrals, potential operators and two-weight, weak type norm inequalities on spaces of homogeneous type [J] . Martell JM Journal of Mathematical Analysis and Applications . 2004,第1期

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4. Two weight inequalities for fractional integral operators and commutators [C] . David Cruz-Uribe OFS International Course of Mathematical Analysis in Andalucia . 2017

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5. Analysis of Nonlocal Equations: One-sided Weighted Fractional Sobolev Spaces and Harnack Inequality for Fractional Nondivergence Form Elliptic Equations [D] . ?Vaughan, Mary Colleen 2020

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7. Two weight norm inequalities for fractional one-sided maximal operators [O] . F. J. Martín-Reyes, A. de la Torre 1993

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A characterization of two weight norm inequalities for one-sided operators of fractional type

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