Littlewood-Paley Theory on Spaces of Homogeneous Type and the Classical Function Spaces - Brossura

Han, Y. S.; Sawyer, Eric T.

Brossura

ISBN 10: 0821825925 ISBN 13: 9780821825921

Casa editrice: Amer Mathematical Society, 1994

Riassunto

In this work, Han and Sawyer extend Littlewood-Paley theory, Besov spaces, and Triebel-Lizorkin spaces to the general setting of a space of homogeneous type. For this purpose, they establish a suitable analogue of the Calderon reproducing formula and use it to extend classical results on atomic decomposition, interpolation, and T1 and Tb theorems. Some new results in the classical setting are also obtained: atomic decompositions with vanishing b-moment, and Littlewood-Paley characterizations of Besov and Triebel-Lizorkin spaces with only half the usual smoothness and cancellation conditions on the approximate identity.

Dettagli dell?edizione

• Editore: Amer Mathematical Society
• Data di pubblicazione: 1994
• Lingua: Inglese
• ISBN 10: 0821825925
• ISBN 13: 9780821825921
• Rilegatura: Copertina flessibile
• Numero di pagine: 126
• Contatto del produttore: non disponibile