This paper is devoted to the decomposition of an image f into u+v, with u a piecewise-smooth or “cartoon” component, and v an oscillatory component (texture or noise), in a variational approach. Y.… (More)

This paper studies the transport of a mass μ in Rd, d ≥ 2, by a flow field v = −∇K∗μ. We focus on kernels K = |x|α/α for 2 − d ≤ α < 2 for which the smooth densities are known to develop… (More)

This paper is devoted to the decomposition of an image f into u + v, with u a piecewise-smooth or “cartoon” component, and v an oscillatory component (texture or noise), in a variational approach.… (More)

We propose a new variational model for image restoration using BV and Sobolev spaces. It is well known that homogeneous Sobolev spaces of negative differentiability can capture oscillatory… (More)

For bilipschitz images of Cantor sets in Rd we estimate the Lipschitz harmonic capacity and show this capacity is invariant under bilipschitz homeomorphisms.

Gonadotropin analogs like leuprolide play an important role in the management of prostate cancer. Pituitary apoplexy has been reported after leuprolide therapy. This report examines whether the… (More)

We prove tha t certain Cantor sets with non-sigma-finite onedimensional Hausdorff measure have zero analytic capacity. In this paper we consider a Cantor set K similar to the :-Cantor set of [G70]… (More)