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- W2952050136 abstract "The purpose of this article is to define a capacity on certain topological measure spaces $X$ with respect to certain function spaces $V$ consisting of measurable functions. In this general theory we will not fix the space $V$ but we emphasize that $V$ can be the classical Sobolev space $W^{1,p}(Omega)$, the classical Orlicz-Sobolev space $W^{1,Phi}(Omega)$, the Haj{l}asz-Sobolev space $M^{1,p}(Omega)$, the Musielak-Orlicz-Sobolev space (or generalized Orlicz-Sobolev space) and many other spaces. Of particular interest is the space $V:=tW^{1,p}(Omega)$ given as the closure of $W^{1,p}(Omega)cap C_c(overlineOmega)$ in $W^{1,p}(Omega)$. In this case every function $uin V$ (a priori defined only on $Omega$) has a trace on the boundary $partialOmega$ which is unique up to a $Cap_{p,Omega}$-polar set." @default.
- W2952050136 created "2019-06-27" @default.
- W2952050136 creator A5067058806 @default.
- W2952050136 date "2009-01-08" @default.
- W2952050136 modified "2023-09-27" @default.
- W2952050136 title "On a Capacity for Modular Spaces" @default.
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