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Weak type inequalities of maximal Hankel convolution operators

✍ Scribed by Jorge J. Betancor


Publisher
Springer Milan
Year
1999
Tongue
Italian
Weight
409 KB
Volume
48
Category
Article
ISSN
0009-725X

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πŸ“œ SIMILAR VOLUMES


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its space of convolution operators, and let O O be the predual of O O X . We prove , ΰ » , ΰ » that the topology of uniform convergence on bounded subsets of H H and the strong dual toplogy coincide on O O X . Our technique, involving Mackey topologies, differs , ΰ » from, and is simpler than, those usual

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## Abstract We show that the lacunary maximal operator associated to a compact smooth hypersurface on which the Gaussian curvature nowhere vanishes to infinite order maps the standard Hardy space __H__ ^1^ to __L__ ^1,__∞__^ . (Β© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)