摘要
本文首先定义一类Teodorescu型算子,讨论它的有界性、H¨older连续性与它的广义导数;然后在R4上提出一类加权Dirac算子的Riemann边值问题;最后利用前面定义的Teodorescu型算子给出上述边值问题解的积分表示.
In this paper, first, a kind of Teodorescu type operator is defined and its boundedness, H¨older continuity and generalized derivatives are discussed; then a kind of Riemann boundary value problem for weighted Dirac operator in R4 is put forward; finally the solution to the boundary value problem of the weighted Dirac operator is explicitly described using the above Teodorescu type operator.
出处
《中国科学：数学》
CSCD
北大核心
2015年第11期1919-1930,共12页
Scientia Sinica：Mathematica
基金
国家自然科学基金(批准号:11401162
11401159和11301136)
河北省自然科学基金(批准号:A2015205012
A2014205069和A2014208158)资助项目
