Yaryong Heo

An endpoint estimate for the cone multiplier

In this paper we consider an endpoint estimate for high-dimensional cone multipliers.

Multi-Parameter Maximal Operators Associated with Finite Measures and Arbitrary Sets of Parameters

In this paper we examine various singular maximal operators, extending the class of operators which have been studied extensively in the past. It extends work that has been done in the one-parameter to the multi-parameter setting. We obtain the

Radial Fourier multipliers in high dimensions

L^p

Improved Bounds for High Dimensional Cone Multipliers

Lp-boundedness properties of the multi-parameter maximal operators associated with finite measures and arbitrary sets of parameters by assuming some Fourier decay and a certain geometric condition.

Bochner–Riesz Means with Respect to a Generalized Cylinder

In this paper we establish sharp L p -regularity estimates for averaging operators with convolution kernel associated to hypersurfaces in Rd(d ≥ 2) of the form y 7→(y,(y)) where y ∈ Rd−1 and (y) = P d−1 i=1 ±|yi| mi with 2 ≤ m1 ≤ ··· ≤ m d−1.