Area operators from spaces to Lq spaces

Area operators from spaces to Lq spaces

We characterize non-negative measures μ on the unit disk for which the area operator A μ is bounded or compact from Hardy space to spaces.

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Veröffentlicht in:Science China. Mathematics 2010, Vol.53 (2), p.357-366
Hauptverfasser: Gong, MinQing, Lou, ZengJian, Wu, ZhiJian
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Mathematics
Mathematics and Statistics
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Zusammenfassung:We characterize non-negative measures μ on the unit disk for which the area operator A μ is bounded or compact from Hardy space to spaces.
ISSN:1674-7283
1869-1862
DOI:10.1007/s11425-010-0031-9