Maximal Functions, Littlewood-paley Theory, Riesz Transforms and Atomic Decomposition in the Multi-parameter Flag Setting (Memoirs of the American Mathematical Society, 279) - Softcover

Han, Yongsheng; Lee, Ming-Yi; Li, Ji; Wick, Brett

Softcover

ISBN 10: 1470453452 ISBN 13: 9781470453459

Verlag: American Mathematical Society, 2022

Inhaltsangabe

"In this monograph, we develop via real variable methods various characterisations of the Hardy spaces in the multi-parameter flag setting. These characterisations include those via, the non-tangential and radial maximal function, the Littlewood- Paley square function and area integral, Riesz transforms and the atomic decomposition in the multi-parameter flag setting. The novel ingredients in this paper include (1) establishing appropriate discrete Calderon reproducing formulae in the flag setting and a version of the Plancherel-Polya inequalities for flag quadratic forms; (2) introducing the maximal function and area function via flag Poisson kernels and flag version of harmonic functions; (3) developing an atomic decomposition via the finite speed propagation and area function in terms of flag heat semigroups. As a consequence of these real variable methods, we obtain the full characterisations of the multi-parameter Hardy space with the flag structure"--

Über diesen Titel

Über die Autorin bzw. den Autor

Yongsheng Han, Auburn University, GA.

Ming-Yi Lee, National Central University, Chung-Li, Taiwan, and National Center for Theoretical Sciences, Taipei, Taiwan.

Ji Li, Macquarie University, Sydney, Australia.

Brett Wick, Washington University, St. Louis, Missouri.

Details zur Ausgabe

• Verlag: American Mathematical Society
• Erscheinungsdatum: 2022
• Sprache: Englisch
• ISBN 10: 1470453452
• ISBN 13: 9781470453459
• Einband: Taschenbuch
• Anzahl der Seiten: 102
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: preigu; mail@preigu.de; ; Lengericher Landstr. 19; Osnabrück; 49078; Deutschland