1. Introduction. The CalderÃ³n-Zygmund theory of singular integrals has been traditionally considered with respect to a measure satisfying a doubling condition. Recently, Tolsa [T] and, independently,â€¦ (More)

With each finite or infinite sequence Z = (zj) (j = 1, 2, . . . ) of distinct points zj = xj+iyj in the upper half-plane of the complex plane, we associate a number M(Z) âˆˆ R+ âˆª {+âˆž} which we call theâ€¦ (More)

We consider a free interpolation problem in Nevanlinna and Smirnov classes and find a characterization of the corresponding interpolating sequences in terms of the existence of harmonic majorants ofâ€¦ (More)

We prove that a positive function on the unit disk admits a harmonic majorant if and only if a certain explicit upper envelope of it admits a superharmonic majorant. We provide examples to show thatâ€¦ (More)

A natural interpolation problem in the cone of positive harmonic functions is considered and the corresponding interpolating sequences are geometrically described.

We give analytic Carleson-type characterisations of the interpolating sequences for the Nevanlinna and Smirnov classes. From this we deduce necessary and sufficient geometric conditions, bothâ€¦ (More)