ENGLISH

Littlewood-Paley Theory on Spaces of Homogeneous Type and the Classical Function Spaces (Memoirs of the American Mathematical Society)

By Eric T. Sawyer , Y. S. Han

Book information

Publisher
Amer Mathematical Society
Year
1994
ISBN
0821825925, 9780821825921
LCC
QA3 .A57 no. 530,QA403.5 .A57 no. 530
Open Library ID
OL1089257M
Language
english
Format
PDF
Filesize
3 MB (3367674 bytes)
Series
Memoirs of the American Mathematical Society volume 530
Pages
129\129
Orientation
no
Scanned
yes
Time added
2012-03-09 12:00:00

Description

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 Calderón 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.

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