Shuichi Sato

most citedMultiparameter Marcinkiewicz integrals and a resonance theorem

4 citations · 4 across the 3 of their papers we have counts for

collaborators

4 papers

math.CA2026

Weighted weak type $(1, 1)$ estimates for oscillatory singular integrals with Dini kernels

Shuichi Sato

We consider $A_{1}$ -weights and prove weighted weak type $(1, 1)$ estimates for oscillatory singular integrals with kernels satisfying a Dini condition.

math.CA2026★ 4 cited

Multiparameter Marcinkiewicz integrals and a resonance theorem

Shuichi Sato

We prove pointwise relations between some multiparameter square functions on $R^{n}$ .

math.CA2026

Estimates for maximal Fourier multiplier operators on $R^{2}$ via square functions

Shuichi Sato

We consider certain Littlewood-Paley square functions on $R^{2}$ and prove sharp estimates for them, from which we can deduce $L^{p}$ boundedness of maximal functions defined by F…

math.CA2026

A note on characterization of $H^{1}$ Sobolev spaces by square functions

Shuichi Sato

We establish characterization of $H^{1}$ Sobolev spaces by certain square functions, improving previous results.

Weighted weak type (1,1) estimates for oscillatory singular integrals with Dini kernels

Multiparameter Marcinkiewicz integrals and a resonance theorem

Estimates for maximal Fourier multiplier operators on R2 via square functions

A note on characterization of H1 Sobolev spaces by square functions

Weighted weak type $(1, 1)$ estimates for oscillatory singular integrals with Dini kernels

Estimates for maximal Fourier multiplier operators on $R^{2}$ via square functions

A note on characterization of $H^{1}$ Sobolev spaces by square functions