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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- 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.AP2014
An L_p-theory for a class of non-local elliptic equations related to nonsymmetric measurable kernels
Ildoo Kim, Kyeong-Hun Kim
We study the integro-differential operators with kernels , where is a Lévy measure on $\bR^d$ (i.e. $\int_{\bR^d}(1\wedge |y|^2)J(y)dy<\infty$) and $…