4 citations · 16 across the 17 of their papers we have counts for
17 papers
Weighted weak type estimates for oscillatory singular integrals with Dini kernels
Shuichi Sato
We consider -weights and prove weighted weak type estimates for oscillatory singular integrals with kernels satisfying a Dini condition.
Multiparameter Marcinkiewicz integrals and a resonance theorem
Shuichi Sato
We prove pointwise relations between some multiparameter square functions on .
A note on characterization of Sobolev spaces by square functions
Shuichi Sato
We establish characterization of Sobolev spaces by certain square functions, improving previous results.
Estimates for maximal Fourier multiplier operators on via square functions
Shuichi Sato
We consider certain Littlewood-Paley square functions on and prove sharp estimates for them, from which we can deduce boundedness of maximal functions defined by F…
On decomposition of neighborhood of a circular cone related to principal curvatures
Shuichi Sato
We give an alternative proof of a result on the uniform overlap of the algebraic sums of the sets arising from a decomposition of a neighborhood of a circular cone in . I…
Sobolev spaces with non-isotropic dilations and square functions of Marcinkiewicz type
Shuichi Sato
We consider the weighted Sobolev spaces associated with non-isotropic dilations of Calderón-Torchinsky and characterize the spaces by the square functions of Marcinkiewicz type inc…