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Multivariate rearrangements and Banach function spaces with mixed norms. (English) Zbl 0462.46020


MSC:

46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
46M35 Abstract interpolation of topological vector spaces
26A33 Fractional derivatives and integrals
28A25 Integration with respect to measures and other set functions
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