Bae Jun Park

activity

20182023

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Showing 2019Show all

4 papers · 1 filter

math.CA2019

On the failure of multilinear multiplier theorem with endpoint smoothness conditions

Bae Jun Park

We study a multilinear version of Hörmander multiplier theorem, namely \begin{equation*} \Vert T_σ(f_1,\dots,f_n)\Vert_{L^p}\lesssim \sup_{k\in\mathbb{Z}}{\Vert σ(2^k\cdot,\dots,2^…

math.CA2019

Sharp Hardy space estimates for multipliers

Loukas Grafakos, Bae Jun Park

We provide an improvement of Calderón and Torchinsky's version of the Hörmander multiplier theorem on Hardy spaces $H^{p}$ ( $0 < p < \infty$ ), by replacing the Sobolev space $L_{s}^{2} (A_{0})$ …

math.CA2019

Fourier multipliers on a vector-valued function space

Bae Jun Park

We study multiplier theorems on a vector-valued function space, which is a generalization of the results of Calderón-Torchinsky and Grafakos-He-Honzík-Nguyen, and an improvement of…

math.CA2019

Equivalence of (quasi-)norms on a vector-valued function space and its applications to multilinear operators

Bae Jun Park

In this paper we present (quasi-)norm equivalence on a vector-valued function space $L_{A}^{p} (l^{q})$ and extend the equivalence to $p = \infty$ and $0 < q < \infty$ in the scale of Triebel-L…