Vertical versus conical square functions

We study the difference between vertical and conical square functions in the abstract and also in the specific case where the square functions come from an elliptic operator.

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Bibliographic Details
Published in:Transactions of the American Mathematical Society 2012-10, Vol.364 (10), p.5469-5489
Main Authors: AUSCHER, PASCAL, HOFMANN, STEVE, MARTELL, JOSÉ-MARÍA
Format: Article
Language:English
Subjects:
Analysis of PDEs
Classical Analysis and ODEs
Coefficients
Integers
Integrable functions
Interpolation
Linear transformations
Mathematical extrapolation
Mathematical functions
Mathematical inequalities
Mathematics
Semigroups
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Description
Summary:We study the difference between vertical and conical square functions in the abstract and also in the specific case where the square functions come from an elliptic operator.
ISSN:0002-9947
1088-6850
DOI:10.1090/S0002-9947-2012-05668-6