Riesz transform characterization of H^1 spaces associated with certain Laguerre expansions

Marcin Preisner

For alpha>0 we consider the system l_k^{(alpha-1)/2}(x) of the Laguerre functions which are eigenfunctions of the differential operator Lf =-\frac{d^2}{dx^2}f-\frac{alpha}{x}\frac{…