Mixed A(p)-A(infinity) estimates with one supremum

作者:Lerner Andrei K*; Moen Kabe
来源:Studia Mathematica, 2013, 219(3): 247-267.
DOI:10.4064/sm219-3-5

摘要

We establish several mixed A(p)-A(infinity) bounds for Calderon Zygmund operators that only involve one supremum. We address both cases when the A(infinity) 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 Hytonen 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 supremo).

  • 出版日期2013