Weak type estimates for some maximal operators on Hardy spaces | Zendy

Heo Ya Ryong | Zendy

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Weak type estimates for some maximal operators on Hardy spaces

Author(s) -

Heo Ya Ryong

Publication year - 2007

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.200410481

Subject(s) - mathematics , lacunary function , hypersurface , hardy space , type (biology) , pure mathematics , operator (biology) , order (exchange) , mathematical analysis , space (punctuation) , maximal function , curvature , gaussian , geometry , physics , ecology , biochemistry , chemistry , linguistics , philosophy , finance , repressor , gene , transcription factor , economics , biology , quantum mechanics

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, ∞ . (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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