Bae Jun Park

activity

20162023

most citedOn the boundedness of Pseudo-differential operators on Triebel-Lizorkin and Besov spaces

14 citations · 28 across the 15 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.CA2017

Fourier multiplier theorems for Triebel-Lizorkin spaces

Bae Jun Park

In this paper we study sharp generalizations of $F ˙_{p}^{0, q}$ multiplier theorem of Mikhlin-Hörmander type. The class of multipliers that we consider involves Herz spaces $K_u^…

math.CA2017★ 3 cited

Some maximal inequalities on Triebel-Lizorkin spaces for $p = \infty$

Bae Jun Park

In this work we give some maximal inequalities in Triebel-Lizorkin spaces, which are " $F ˙_{\infty}^{s, q}$ -variants" of Fefferman-Stein vector-valued maximal inequality and Pee…

math.CA2017

Sharp estimates for pseudo-differential operators of type (1,1) on Triebel-Lizorkin and Besov spaces

Bae Jun Park

Pseudo-differential operators of type $(1, 1)$ and order $m$ are continuous from $F_{p}^{s + m, q}$ to $F_{p}^{s, q}$ if $s > d / min (1, p, q) - d$ for $0 < p < \infty$ , and from $B_{p}^{s + m, q}$ to $B…

Fourier multiplier theorems for Triebel-Lizorkin spaces

Some maximal inequalities on Triebel-Lizorkin spaces for p=∞

Sharp estimates for pseudo-differential operators of type (1,1) on Triebel-Lizorkin and Besov spaces

Some maximal inequalities on Triebel-Lizorkin spaces for $p = \infty$