Wavelet transform for functions with values in UMD spaces
Studia Mathematica 186 (2008), 101-126 MSC: Primary 42C40, 42B25; Secondary 42B15, 42B20, 42B35, 46B20. DOI: 10.4064/sm186-2-1
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.