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A pointwise convergence for Sobolev space functions
Authors:Javad Namazi
Affiliation:Fairleigh Dickinson University, Madison, NJ 07940, USA
Abstract:Let 1<p<∞, and k,m be positive integers such that 0less-than-or-equals, slant(k−2m)pless-than-or-equals, slantn. Suppose Ωsubset ofRn 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), Image for all xset membership, variantΩ except on a set whose Bessel capacity Bk−2m,p is zero.
Keywords:Generalized set-valued variational inclusion   Iterative algorithm with error   q-uniformly smooth Banach space
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