On a class of spaces of analytic functions |
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Authors: | M I Gvaradze |
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Institution: | (1) Tbilisi State University, Georgia |
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Abstract: | The spacesb (p, q, λ) (0<p<q⩽∞, 0<λ⩽∞) of functions, analytic in the circle |z|< 1, are introduced, and an unimprovable estimate is obtained for the Taylor coefficients
of a functionf∃
b (p, q, λ). It is shown that B(p, q, λ) is the space of fractional derivatives f(α) of order α (−∞<α<1/p−1/q) of a function
f of B(s, q, λ), where s=p/(1−αp).
Translated from Matematicheskie Zametki, Vol. 21, No. 2, pp. 141–150, February, 1977. |
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Keywords: | |
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