On generalized Bergman spaces

Lusky, Wolfgang

Lusky, Wolfgang

Studia Mathematica, Tome 119 (1996), p. 77-95 / Harvested from The Polish Digital Mathematics Library

Résumé

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 $ʃ_{0}^{1} (ʃ_{0}^{2 π} | f (r e^{i φ}) {|^{p} d φ)}^{q / p} d μ (r) < \infty$ .

Publié le : 1996-01-01

Zbl 0857.46014

EUDML-ID : urn:eudml:doc:216287

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     author = {Wolfgang Lusky},
     title = {On generalized Bergman spaces},
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     volume = {119},
     year = {1996},
     pages = {77-95},
     zbl = {0857.46014},
     language = {en},
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Lusky, Wolfgang. On generalized Bergman spaces. Studia Mathematica, Tome 119 (1996) pp. 77-95. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv119i1p77bwm/

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