In this paper we establish $L^p$-boundedness properties for variation, oscillation and jump operators associated with Riesz transforms Poisson semigroups related to Laguerre polynomial expansions.

We present an abstract method for deriving decay estimates on the resolvents and semigroups of non-symmetric operators in Banach spaces in terms of estimates in another smaller reference Banach space. This applies to a class of operators writing as a regularizing part, plus a dissipative part. The core of the method is a high-order quantitative factorization argument on the resolvents and semig...

We give an overview of the generalized Calderón-Zygmund theory for “non-integral” singular operators, that is, operators without kernels bounds but appropriate off-diagonal estimates. This theory is powerful enough to obtain weighted estimates for such operators and their commutators with BMO functions. L − L off-diagonal estimates when p ≤ q play an important role and we present them. They are...

We give an overview of the generalized Calderón-Zygmund theory for “non-integral” singular operators, that is, operators without kernels bounds but appropriate off-diagonal estimates. This theory is powerful enough to obtain weighted estimates for such operators and their commutators with BMO functions. L − L off-diagonal estimates when p ≤ q play an important role and we present them. They are...