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On rough maximal operators and Marcinkiewicz integrals along submanifolds
(2009 , Article)
We investigate the LP boundedness for a class of parametric Marcinkiewicz integral operators associated to submanifolds and a class of related maximal operators under the L(log L)α(Sn-1) condition on the kernel functions. ...
On certain estimates for marcinkiewicz integrals and extrapolation
(
Universidad de Barcelona
, 2009 , Article)
We obtain Lp estimates for parametric Marcinkiewicz integrals associated to polynomial mappings and with rough kernels on the unit sphere as well as on the radial direction. These estimates will allow us to use an extrapolation ...