Juan C. Fariña

Riesz transforms related to Bessel operators

Riesz transforms

A CHOICE OF SOBOLEV SPACES ASSOCIATED WITH ULTRASPHERICAL EXPANSIONS

R_\mu

Weak type (1,1) estimates for Caffarelli-Calderón generalized maximal operators for semigroups associated with Bessel and Laguerre operators

related to the Bessel operators

Axiomatic Potential Theory, Asymptotic Values and Elliptic Differential Operators

\Delta_\mu=x^{-\mu-1/2}Dx^{2\mu+1}Dx^{-\mu-1/2}

Transference between Laguerre and Hermite settings

are studied in this work. We develop for

Maximal operators, Riesz transforms and Littlewood–Paley functions associated with Bessel operators on BMO☆

R_\mu

Riesz transform and g-function associated with Bessel operators and their appropriate Banach spaces

a theory that runs parallel to that for the Euclidean Hilbert transform. It is proved that

Higher order Riesz transforms associated with Bessel operators

R_\mu