Unconditional Haar bases for Lebesgue spaces on spaces of homogeneous type

Hugo Aimar; Osvaldo Gorosito

doi:10.1117/12.408644

4 December 2000 Unconditional Haar bases for Lebesgue spaces on spaces of homogeneous type

Hugo Aimar, Osvaldo Gorosito

Proceedings Volume 4119, Wavelet Applications in Signal and Image Processing VIII; (2000) https://doi.org/10.1117/12.408644
Event: International Symposium on Optical Science and Technology, 2000, San Diego, CA, United States

Abstract

We show that spaces of homogeneous type are adequate structures on which the unbalanced wavelet of Girabardi and Sweldens, can be constructed with an additional geometric control for the size of the nested partitions, given by the underlying quasi-distance. Moreover, we show that if a non- degeneracy condition is satisfied, we can still apply the Calderon-Zygmund theory in order to get the characterization of L^p spaces.

Citation Download Citation

Hugo Aimar and Osvaldo Gorosito "Unconditional Haar bases for Lebesgue spaces on spaces of homogeneous type", Proc. SPIE 4119, Wavelet Applications in Signal and Image Processing VIII, (4 December 2000); https://doi.org/10.1117/12.408644

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available