Properties of harmonic conjugates
Paweł Sobolewski (2008)
Annales UMCS, Mathematica
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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.