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- W595652005 abstract "We consider non-isotropic Sobolev spaces Hρ,r,p = Hρ,r,p(R m × R n ) of functions f on R d = R m × R n of the form f = G m ⊗ G n ⋆ g. Here G m and G n are Bessel kernels or order ρ and r in R m and R n respectively and g belongs to L p (R d ). We develop at least part of a potential theory for Hρ,r,p that is analogous to the well-known non-linear L p -potential theory for the Sobolev spaces Hρ,p(R m ). We define thinness in Hρ,r,p, prove the Choquet and Kellog properties and give a partial characterization of properties of certain non-linear potentials in terms of thinness." @default.
- W595652005 created "2016-06-24" @default.
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- W595652005 date "1997-01-01" @default.
- W595652005 modified "2023-09-27" @default.
- W595652005 title "Thinness in non-linear potential theory for non-isotropic Sobolev spaces" @default.
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