The paper deals with local means and wavelet bases in weighted and unweighted function spaces of type and on ℝⁿ and on ⁿ.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc79-0-18, author = {Hans Triebel}, title = {Local means and wavelets in function spaces}, journal = {Banach Center Publications}, volume = {83}, year = {2008}, pages = {215-234}, zbl = {1145.46021}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc79-0-18} }
Hans Triebel. Local means and wavelets in function spaces. Banach Center Publications, Tome 83 (2008) pp. 215-234. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc79-0-18/