A pointwise convergence for Sobolev space functions |
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Authors: | Javad Namazi |
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Affiliation: | Fairleigh Dickinson University, Madison, NJ 07940, USA |
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Abstract: | Let 1<p<∞, and k,m be positive integers such that 0(k−2m)pn. Suppose ΩRn is an open set, and Δ is the Laplacian operator. We will show that there is a sequence of positive constants cj such that for every f in the Sobolev space Wk,p(Ω), for all xΩ except on a set whose Bessel capacity Bk−2m,p is zero. |
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Keywords: | Generalized set-valued variational inclusion Iterative algorithm with error q-uniformly smooth Banach space |
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