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• # Artykuł - szczegóły

## Studia Mathematica

2013 | 219 | 3 | 247-267

## Mixed $A_{p}-A_{∞}$ estimates with one supremum

EN

### Abstrakty

EN
We establish several mixed $A_{p}-A_{∞}$ bounds for Calderón-Zygmund operators that only involve one supremum. We address both cases when the $A_{∞}$ part of the constant is measured using the exponential-logarithmic definition and using the Fujii-Wilson definition. In particular, we answer a question of the first author and provide an answer, up to a logarithmic factor, to a conjecture of Hytönen and Lacey. Moreover, we give an example to show that our bounds with the logarithmic factors can be arbitrarily smaller than the previously known bounds (both with one supremum and two suprema).

247-267

wydano
2013

### Twórcy

autor
• Department of Mathematics, Bar-Ilan University, 52900 Ramat Gan, Israel
autor
• Department of Mathematics, University of Alabama, Tuscaloosa, AL 35487-0350, U.S.A.