Geodesic
Hermite Conjugate Functions and Rearrangement Invariant Spaces
Canadian mathematical bulletin, Tome 16 (1973) no. 3, pp. 377-380

Voir la notice de l'article provenant de la source Cambridge University Press

The Hermite conjugate Poisson integral of a given f ∊ L1(μ), dμ(y)= exp(—y2 ) dy, was defined by Muckenhoupt [5, p. 247] as where If 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. 
Andersen, Kenneth F. Hermite Conjugate Functions and Rearrangement Invariant Spaces. Canadian mathematical bulletin, Tome 16 (1973) no. 3, pp. 377-380. doi: 10.4153/CMB-1973-059-5
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[1] 1. Andersen, K. F., Discrete Hilbert transformations on rearrangement invariant sequence spaces, Thesis, University of Toronto, 1970. Google Scholar

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[4] 4. Kerman, R. A., Conjugate functions and rearrangement invariant spaces, Thesis, University of Toronto, 1969. Google Scholar

[5] 5. Muckenhoupt, B., Hermite conjugate expansions, Trans. Amer. Math. Soc. 139 (1969), 243–260. Google Scholar

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