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

by Y.S. Han and Eric T. Sawyer

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 Calder 'on 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,...

• Format: Paperback
• Language: English
• ISBN: 0821825925
• ISBN13: 9780821825921
• Release Date: August 1994
• Publisher: American Mathematical Society
• Length: 126 Pages