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T1 - Boundedness of non-homogeneous square functions and Lq type testing conditions with $q \in (1,2)$
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UR - http://hdl.handle.net/10138/249340
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A1 - Martikainen, Henri; Mourgoglou, Mihalis
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Y1 - 2015
LA - eng
AB - We continue the study of local Tb theorems for square functions defined in the upper half-space (R-+(n+1), mu x dt/t). Here mu is allowed to be a non-homogeneous measure in R-n. In this paper we prove a boundedness result assuming local L-q type testing conditions in the difficult range q is an element of (1, 2). Our theorem is a non-homogeneous 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 w...
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KW - 111 Mathematics
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