EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 40(54), pp. 117--141 (1986)

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MIXED NORM SPACES OF ANALYTIC AND HARMONIC FUNCTIONS, I

Miroslav Pavlovi\'c

Matematicki fakultet, Beograd, Yugoslavia

Abstract: For an increasing absolutely continuous function $\varphi:(0,1)\to(0,+\infty)$ we define the spaces $H(p,q,\varphi)$, $p>0$, and $h(p,q,\varphi)$, $p\geq 1$, (of analytic and harmonic functions $f$ on the unit disc, respectively) by the requirement that the function $r\to\varphi(1-r)M_p(r,f)$, $0Classification (MSC2000): 46E14, 30H05

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