Projects per year
Abstract
We continue the study of local Tb theorems for square functions defined in the upper halfspace (R+(n+1), mu x dt/t). Here mu is allowed to be a nonhomogeneous measure in Rn. In this paper we prove a boundedness result assuming local Lq type testing conditions in the difficult range q is an element of (1, 2). Our theorem is a nonhomogeneous version of a result of S. Hofmann valid for the Lebesgue measure. It is also an extension of the recent results of M. Lacey and the first named author where nonhomogeneous local L2 testing conditions have been considered.
Original language  English 

Journal  Mathematical Research Letters 
Volume  22 
Issue number  5 
Pages (fromto)  14171457 
Number of pages  41 
ISSN  10732780 
DOIs  
Publication status  Published  2015 
MoE publication type  A1 Journal articlerefereed 
Fields of Science
 111 Mathematics
Projects
 1 Finished

Multiparameter Dyadic Harmonic Analysis and Probabilistic Methods
01/09/2013 → 31/08/2016
Project: Research project