The dual of an inequality of Hardy and Littlewood and some related inequalities
β Scribed by T.M Flett
- Publisher
- Elsevier Science
- Year
- 1972
- Tongue
- English
- Weight
- 811 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
Some aspects of the interplay between approximation properties of analytic functions and the smoothness of its boundary values are discussed. One main result describes the equivalence of a special q-modulus of continuity and an intrinsic K-functional. Further, a generalization of a theorem due to G.
## Abstract The paper deals with sharp embeddings of the spaces __B__ and __F__ into rearrangementβvariant spaces and related Hardy inequalities. Here (1/~p~, __s__) belongs to the interior of the shaded invariant spaces region in the Figure
By using the LITTLEWOOD matrices B g n we generalize CLAEKSON'S inequelitiee, or equivalently, we determine the norms IIAzn : Z,2"(Lp) + Zr(Lp)ll completely. The result is compared with the norms IIAp : 1,2" -+ Zrl l , which are calculated implicitly in PIETSOE [el.