pith. machine review for the scientific record. sign in

arxiv: 0911.3437 · v4 · submitted 2009-11-17 · 🧮 math.CA

Recognition: unknown

Two Weight Inequalities for Discrete Positive Operators

Michael T. Lacey , Eric T. Sawyer , Ignacio Uriarte-Tuero
Authors on Pith no claims yet
classification 🧮 math.CA
keywords inequalitiesgeneraloperatorspositiveweightargumentbilinearcases
0
0 comments X
read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. The two-weight fractional Poincar\'e-Sobolev sandwich

    math.CA 2026-04 unverdicted novelty 7.0

    A two-weight fractional Poincaré-Sobolev inequality and a related embedding into a difference-norm Triebel-Lizorkin space are proved with asymptotically sharp constants and explicit Muckenhoupt dependence.