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The maximal conjugate and Hilbert operators on real Hardy spaces

✍ Scribed by Gavin Brown; Dai Feng; Ferenc Móricz

Publisher
Akadmiai Kiad
Year
2005
Tongue
English
Weight
196 KB
Volume
109
Category
Article
ISSN
1588-2632

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📜 SIMILAR VOLUMES

Weak type estimates for some maximal ope
Weak type estimates for some maximal operators on Hardy spaces
✍ Ya Ryong Heo 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 144 KB

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

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## Abstract We investigate the composition operators on the weighted Hardy spaces __H__^2^(__β__). For any bounded weight sequence __β__, we give necessary conditions for those operators to be isometric. The sufficiency of those conditions is well‐known for the classical space __H__^2^. In the case

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✍ Ferenc Móricz 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 213 KB 👁 2 views

We consider the Riemann means of single and multiple Fourier integrals of functions belonging to L 1 or the real Hardy spaces defined on IR n , where n ≥ 1 is an integer. We prove that the maximal Riemann operator is bounded both from H 1 (IR) into L 1 (IR) and from L 1 (IR) into weak -L 1 (IR). We