Journal Article Littlewood–Paley Equivalence and Homogeneous Fourier Multipliers

Sato, Shuichi

87 ( 1 )  , pp.15 - 44 , 2017-01-01 , Springer
ISSN:0378-620x
NCID:AA00233489
Description
We consider certain Littlewood–Paley operators and prove characterization of some function spaces in terms of those operators. When treating weighted Lebesgue spaces, a generalization to weighted spaces will be made for Hörmander’s theorem on the invertibility of homogeneous Fourier multipliers. Also, applications to the theory of Sobolev spaces will be given. © 2016 Springer International Publishing
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