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Improved bounds for Stein's square functions
Square functions Bochner–Riesz means Wave and Schr¨odinger semigroup
2011/1/20
We prove a weighted norm inequality for the maximal Bochner–Riesz operator and the associated square-function. This yields new Lp(Rd) bounds on classes of radial Fourier multipliers for p 2 + 4/d wi...
Vertical versus conical square functions
Vertical square functions conical square functions extrapolation
2011/2/22
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.
Maximal theorems and square functions for analytic operators on Lp-spaces
Maximal theorems square functions analytic operators on Lp-spaces
2010/11/11
Let T : Lp --> Lp be a contraction, with p strictly between 1 and infinity, and assume that T is analytic, that is, there exists a constant K such that n\norm{T^n-T^{n-1}} < K for any positive intege...