Work

Two Weight Inequalities for Discrete Positive Operators

Year: 2009

Type: preprint

Abstract: We characterize two weight inequalities for general positive dyadic operators. We consider both weak and strong type inequalities, and general (p,q) mapping properties. Special cases include Sawyers Fractional Integral operator results from 1988, and the bilinear embedding inequality of Nazarov-Treil-Volberg from 1999. The method of proof is an extension of Sawyer's argument.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.0911.3437

Authors: Lacey, Michael T., Sawyer, Eric T., Uriarte-Tuero, Ignacio

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Natural Sciences and Engineering Research Council of Canada

Awards: Geometric and Combinatorial Viewpoints in Complex and Harmonic Analysis, FRG: Collaborative Research: New Trends in Harmonic Analysis

OpenAlex ID: W1640173534

Cites: 18

Cited by: 68

Related to: 10