Journal Article Spherical square functions of Marcinkiewicz type with Riesz potentials

Sato, Shuichi

108 ( 4 )  , pp.415 - 426 , 2017-04-01 , Birkhauser Verlag AG / Springer Verlag
ISSN:0003-889x
NCID:AA0054635X
Description
We prove a pointwise equivalence between a spherical square function composed with the Riesz potential and a Littlewood–Paley function arising from the Bochner–Riesz operators. Also, its application to the theory of Sobolev spaces will be given. © 2017 Springer International Publishing
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