Displaying similar documents to “Characterizations of Localized BMO( m a t h b b R n ) via Commutators of Localized Riesz Transforms and Fractional Integrals Associated to Schr“odinger Operators and Fractional Integrals Associated to Schr“odinger Operators.”

Rough Marcinkiewicz integral operators on product spaces.

Hussein M. Al-Qassem (2005)

Collectanea Mathematica

Similarity:

In this paper, we study the Marcinkiewicz integral operators M on the product space R x R. We prove that M is bounded on L(R x R) (1< p < ∞) provided that h is a bounded radial function and Ω is a function in certain block space B (S x S) for some q > 1. We also establish the optimality of our condition in the sense that the space B (S x S) cannot be replaced by B (S x S) for any −1 < r < 0. Our results...

Homeomorphisms acting on Besov and Triebel-Lizorkin spaces of local regularity ψ(t).

Silvia I. Hartzstein, Beatriz E. Viviani (2005)

Collectanea Mathematica

Similarity:

The aim of this paper is to show that the integral and derivative operators defined by local regularities are homeomorphisms for generalized Besov and Triebel-Lizorkin spaces with local regularities. The underlying geometry is that of homogeneous type spaces and the functions defining local regularities belong to a larger class of growth functions than the potentials t, related to classical fractional integral and derivative operators and Besov and Triebel-Lizorkin spaces.