Ildoo Kim

most citedParabolic BMO estimates for pseudo-differential operators of arbitrary order

20 citations · 21 across the 2 of their papers we have counts for

collaborators

2 papers

math.AP2014★ 20 cited

Parabolic BMO estimates for pseudo-differential operators of arbitrary order

Ildoo Kim, Kyeong-Hun Kim, Sungbin Lim

In this article we prove the BMO- $L_{\infty}$ estimate $$ \|(-Δ)^{γ/2} u\|_{BMO(\mathbf{R}^{d+1})}\leq N \|\frac{\partial}{\partial t}u-A(t)u\|_{L_{\infty}(\mathbf{R}^{d+1})}, \qua…

math.FA2010★ 1 cited

A generalization of the Littlewood-Paley inequality for the fractional Laplacian $(- Δ)^{α /2}$

Ildoo Kim, Kyeong-Hun Kim

We prove a parabolic version of the Littlewood-Paley inequality for the fractional Laplacian $(- Δ)^{α /2}$ , where $α \in (0, 2)$ .

Parabolic BMO estimates for pseudo-differential operators of arbitrary order

A generalization of the Littlewood-Paley inequality for the fractional Laplacian (−Δ)α/2

A generalization of the Littlewood-Paley inequality for the fractional Laplacian $(- Δ)^{α /2}$