Hermite Conjugate Functions and Rearrangement Invariant Spaces
Canadian mathematical bulletin, Tome 16 (1973) no. 3, pp. 377-380
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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
@article{10_4153_CMB_1973_059_5,
author = {Andersen, Kenneth F.},
title = {Hermite {Conjugate} {Functions} and {Rearrangement} {Invariant} {Spaces}},
journal = {Canadian mathematical bulletin},
pages = {377--380},
year = {1973},
volume = {16},
number = {3},
doi = {10.4153/CMB-1973-059-5},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1973-059-5/}
}
TY - JOUR AU - Andersen, Kenneth F. TI - Hermite Conjugate Functions and Rearrangement Invariant Spaces JO - Canadian mathematical bulletin PY - 1973 SP - 377 EP - 380 VL - 16 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1973-059-5/ DO - 10.4153/CMB-1973-059-5 ID - 10_4153_CMB_1973_059_5 ER -
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