A Generalization Of An Inequality Of Hardy and Littlewood
- 1 January 1956
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 8, 157-170
- https://doi.org/10.4153/cjm-1956-019-5
Abstract
1. Introduction. A well-known inequality of Hardy-Littlewood reads as follows (4): if p > 1 and f > 0, then ,where is defined as the supremum of the numbers the constant depends on p only. The statement obtained by putting p = 1 is false; its substitute reads: the constants depend on p but not on f.Keywords
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