Hermite Conjugate Functions and Rearrangement Invariant Spaces
Copyright policy )Hermite Conjugate Functions and Rearrangement Invariant Spaces
The Hermite conjugate Poisson integral of a given f ∊ L1(μ), dμ(y)= exp(—y2) dy, was defined by Muckenhoupt [5, p. 247] aswhereIf the Hermite conjugate function operator T is defined by (Tf) a.e., then one of the main results of [5] is that T is of weak-type (1, 1) and strongtype (p,p) for all p>l.
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Conjugate functions, conjugate series, singular integrals, Special integral transforms (Legendre, Hilbert, etc.), Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
Conjugate functions, conjugate series, singular integrals, Special integral transforms (Legendre, Hilbert, etc.), Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
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