Capacitary inequalities for fractional integrals,with applications to partial differential equations and Sobolev multipliers |
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| Authors: | Vladimir G Maz'ya Igor E Verbitsky |
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| Institution: | 1. Department of Mathematics, Link?ping University, S 581 83, Link?ping, Sweden
2. Department of Mathematics, Wayne State University, 48202, Detroit, MI, USA
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| Abstract: | Some new characterizations of the class of positive measures γ onR
n
such thatH
p
l
∉L
p
(γ) are given whereH
p
l
(1<p<∞ 0<l∞) is the space of Bessel potentials This imbed ding as well as the corresponding trace inequality
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