A Study to Determine to What Extent the Tom Bean School, Grayson County, Texas, is a Community School
This is a study to determine to what extent the Tom Bean Public School of Grayson County, Texas, is a community school.
We prove a sufficient condition for frame-type wavelet series in $L^p$, the Hardy space $H^1$, and BMO. For example, functions in these spaces are shown to have expansions in terms of the Mexican hat wavelet, thus giving a strong answer to an old question of Meyer. ::: Bijectivity of the wavelet frame operator acting on Hardy space is established with the help of new frequency-domain estimates on the Calder\'on-Zygmund constants of the frame kernel.