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Bourgain, Brezis and Mironescu theorem for fractional Sobolev spaces with variable exponents
Published 2 Oct 2022 in math.FA | (2210.00574v1)
Abstract: A Bourgain--Brezis--Mironescu-type theorem for fractional Sobolev spaces with variable exponents is established for sufficiently regular functions. We prove, however, that a limiting embedding theorem for these spaces fails to hold in general.
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