4 papers
Necessary conditions for weighted estimates of Multilinear Multipliers and Pseudo-Differential Operators
Bae Jun Park, Naohito Tomita
We study optimal multiple weight assumptions in the weighted theory of multilinear Fourier multipliers and multilinear pseudo-differential operators. For multilinear Fourier multip…
Sharp Maximal function estimates for Multilinear pseudo-differential operators of type (0,0)
Bae Jun Park, Naohito Tomita
In this paper, we study sharp maximal function estimates for multilinear pseudo-differential operators. Our target is operators of type (0, 0) for which a differentiation does not…
Vector-valued estimates for shifted operators
Bae Jun Park
Shifted variants of (dyadic) Hardy-Littlewood maximal function and Stein's square function have played a significant role in the study of many important operators such as Calderon…
Sharp maximal function estimates for linear and multilinear pseudo-differential operators
Bae Jun Park, Naohito Tomita
In this paper, we study pointwise estimates for linear and multilinear pseudo-differential operators with exotic symbols in terms of the Fefferman-Stein sharp maximal function and…