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Relationships between combinatorial measurements and Orlicz norms |
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| Authors: | Ron Blei Lin Ge |
| Institution: | Department of Mathematics, University of Connecticut, Storrs, CT 06269, United States |
| Abstract: | We establish in a setting of harmonic analysis precise relationships between combinatorial measurements and Orlicz norms. These relationships further extend and sharpen prior results concerning extensions of the Littlewood 2n/(n+1)-inequalities, the n-dimensional Khintchin inequalities, and the Kahane-Khintchin inequality. |
| Keywords: | Rademacher system Littlewood _method=retrieve& _eid=1-s2 0-S002212360900086X& _mathId=si2 gif& _pii=S002212360900086X& _issn=00221236& _acct=C000069490& _version=1& _userid=6211566& md5=183ad093a23974fefd36dd6c5b7b6541')" style="cursor:pointer 2n/(n+1)-inequalities" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">2n/(n+1)-inequalities n-Dimensional Khintchin inequalities Kahane-Khintchin inequality Combinatorial measurement α-Orlicz function Orlicz norm Quasi-asymptotic |
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