半椭圆算子的基本解与映射性质
Fundamental Solutions and Mapping Properties of Semielliptic Operators
摘要：
给出了一类半椭圆算子的基本解的一个显式公式。基本解被用来研究这些算子作为加权函数空间之间映射的性质。给出了这类映射是同构的充要条件。结果适用于，例如，椭圆，抛物，和广义p-抛物算子。
英文摘要：
An explicit formula is given for a fundamental solution for a class of semielliptic operators. The fundamental solution is used to investigate properties of these operators as mappings between weighted function spaces. Necessary and sufficient conditions are given for such a mapping to be an isomorphism. Results apply, for example, to elliptic, parabolic, and generalized p-parabolic operators.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
