On generalized Bergman spaces
Studia Mathematica, Tome 119 (1996) no. 1, p. 77.

Voir la notice de l'article dans European Digital Mathematics Library

Let D be the open unit disc and μ a positive bounded measure on [0,1]. Extending results of Mateljević/Pavlović and Shields/Williams we give Banach-space descriptions of the classes of all harmonic (holomorphic) functions f: D → ℂ satisfying ʃ 0 1 ( ʃ 0 2 π | f ( r e i φ ) | p d φ ) q / p d μ ( r ) < ∞ .
Classification : 46B45, 46E15, 46J15
Mots-clés : open unit disc, positive bounded measure, Banach-space descriptions of the classes of all harmonic (holomorphic) functions 
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Wolfgang Lusky. On generalized Bergman spaces. Studia Mathematica, Tome 119 (1996) no. 1, p. 77. https://geodesic-test.mathdoc.fr/item/STUMA_1996__119_1_216287/