刊物主题:Potential Theory; Probability Theory and Stochastic Processes; Geometry; Functional Analysis;
出版者:Springer Netherlands
ISSN:1572-929X
卷排序:46
文摘
We obtain (essentially sharp) boundedness results for certain generalized local maximal operators between fractional weighted Sobolev spaces and their modifications. Concrete boundedness results between well known fractional Sobolev spaces are derived as consequences of our main result. We also apply our boundedness results by studying both generalized neighbourhood capacities and the Lebesgue differentiation of fractional weighted Sobolev functions.