The K-functional for rearrangement invariant spaces
Singular integrals in the space Λ(B,X)
Interpolation of operations and Orlicz classes
Inequalities for Fourier transforms
The strong maximal function with respect to measures
A note on the Marcinkiewicz integral
Medians, continuity, and vanishing oscillation
We consider properties of medians as they pertain to the continuity and vanishing oscillation of a function. Our approach is based on the observation that medians are related to local sharp maximal functions restricted to a cube of ℝⁿ.
A weighted version of Journé's lemma.
In this paper we discuss a weighted version of Journé's covering lemma, a substitution for Whitney decomposition of an open set in R where squares are replaced by rectangles. We then apply this result to obtain a sharp version of the atomic decomposition of the weighted Hardy spaces H (R x R ) and a description of their duals when p is close to 1.
The Hardy-Lorentz spaces
We deal with the Hardy-Lorentz spaces where 0 < p ≤ 1, 0 < q ≤ ∞. We discuss the atomic decomposition of the elements in these spaces, their interpolation properties, and the behavior of singular integrals and other operators acting on them.
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