Treffer: On the moduli of continuity ofHpfunctions with 0

Title:
On the moduli of continuity ofHpfunctions with 0
Authors:
Miroslav Pavlović
Source:
Proceedings of the Edinburgh Mathematical Society. 35:89-100
Publisher Information:
Cambridge University Press (CUP), 1992.
Publication Year:
1992
Subject Terms:
Hardy spaces, Banach spaces of continuous, differentiable or analytic functions, modulus of continuity, Spaces of bounded analytic functions of one complex variable, 0101 mathematics, \(p\)-th mean value, 01 natural sciences, \(H^p\)-classes
Document Type:
Fachzeitschrift Article<br />Other literature type
File Description:
application/xml
Language:
English
ISSN:
1464-3839
0013-0915
DOI:
10.1017/s0013091500005344
Access URL:
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/470F2F83CDF1C138C7DE96D7709BCB6A/S0013091500005344a.pdf/div-class-title-on-the-moduli-of-continuity-of-span-class-italic-h-span-class-sup-p-span-span-functions-with-0andlt-span-class-italic-p-span-andlt-1-div.pdf
https://www.cambridge.org/core/journals/proceedings-of-the-edinburgh-mathematical-society/article/on-the-moduli-of-continuity-of-hp-functions-with-0p1/470F2F83CDF1C138C7DE96D7709BCB6A
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0013091500005344
Rights:
Cambridge Core User Agreement
Accession Number:
edsair.doi.dedup.....0cf357b7029f8f1dde7fc131ec416d99
Database:
OpenAIRE

Weitere Informationen

We prove two inequalities which relate theLpmodulus of continuity ofn-th order, ωn(f,·)p, of anHpfunctionfwith thep-th mean values of then-th derivativef(n). Using these inequalities we extend classical results of Hardy and Littlewood [5], Gwiliam [4], Zygmund [13] and Taibleson [12] as well as a recent result of Oswald [6].