We extend the classical theory of the continuous and discrete wavelet transform to functions with values in UMD spaces. As a by-product we obtain equivalent norms on Bochner spaces in terms of g-functions.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm186-2-1,
author = {Cornelia Kaiser and Lutz Weis},
title = {Wavelet transform for functions with values in UMD spaces},
journal = {Studia Mathematica},
volume = {187},
year = {2008},
pages = {101-126},
zbl = {1213.42145},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm186-2-1}
}
Cornelia Kaiser; Lutz Weis. Wavelet transform for functions with values in UMD spaces. Studia Mathematica, Tome 187 (2008) pp. 101-126. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm186-2-1/