We give a new proof of Hardy and Littlewood theorem concerning harmonic conjugates of functions u such that ∫D |u(z)|pdA(z) < ∞, 0 < p ≤ 1. We also obtain an inequality for integral means of such harmonic functions u.
@article{bwmeta1.element.doi-10_2478_v10062-008-0015-1,
author = {Pawe\l\ Sobolewski},
title = {Properties of harmonic conjugates},
journal = {Annales UMCS, Mathematica},
volume = {62},
year = {2008},
pages = {143-147},
zbl = {1179.30056},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10062-008-0015-1}
}
Paweł Sobolewski. Properties of harmonic conjugates. Annales UMCS, Mathematica, Tome 62 (2008) pp. 143-147. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10062-008-0015-1/
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