Best constants for certain multilinear integral operators

By 'Arp'ad B'enyi, C. Oh. 2006

111 citations recorded by the source corpus.

We provide explicit formulas in terms of the special function gamma for the best constants in nontensorial multilinear extensions of some classical integral inequalities due to Hilbert, Hardy, and Hardy-Littlewood-Pólya.

Subfields: Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/31586364b7cfc76dc12d0fdc32b51982dccb7c9d

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In Applied Mathematics

1. Zunwei Fu
2. Shan-zhen Lu
3. Loukas Grafakos
4. Fayou Zhao
5. Rodolfo H. Torres
6. Dachun Yang
7. J. M. Martell
8. Naohito Tomita

Citations in the corpus

• Sharp bounds for m-linear Hardy and Hilbert Operators (2012, methodology): “Our approach is simpler than that in both [2] and [3] and easily adapts to the multilinear setting.”
• A HALF-DISCRETE HILBERT-TYPE INEQUALITY WITH A GENERAL HOMOGENEOUS KERNEL OF DEGREE 0 (2012, unknown): “For some recent results in the above mentioned directions, the reader is referred, for example, to papers [1], [2], [4], [6], [7], [8], [11], [14], [16], [21].”