Regularity of fundamental solutions for Lévy-type operators

Karol Szczypkowski
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Abstract

For a class of non-symmetric non-local Lévy-type operators $\mathcal L^{\kappa}$, which include those of the form $$ \mathcal L^{\kappa}f(x):= \int _{\mathbb R^d}( f(x+z)-f(x)- \mathbf 1_{|z| \lt 1} \langle z,\nabla f(x)\rangle )\kappa (x,z)J(z)\, dz, $$
lsamv型算子基本解的正则性
对于一类非对称非局部l型运算符$\mathcal L^{\kappa}$,其中包括形式为 $$ \mathcal L^{\kappa}f(x):= \int _{\mathbb R^d}( f(x+z)-f(x)- \mathbf 1_{|z| \lt 1} \langle z,\nabla f(x)\rangle )\kappa (x,z)J(z)\, dz, $$
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