Moltiplicatori di Fourier e teoremi di immersione per certi spazi funzionali. II
Monotonicity of certain differential operators in divergence form.
Morrey-Campanato spaces on manifolds
Multilevel Decompositions of Functional Spaces.
Multilinear analysis on metric spaces [Book]
Multilinear Fourier multipliers with minimal Sobolev regularity, I
We find optimal conditions on m-linear Fourier multipliers that give rise to bounded operators from products of Hardy spaces , , to Lebesgue spaces . These conditions are expressed in terms of L²-based Sobolev spaces with sharp indices within the classes of multipliers we consider. Our results extend those obtained in the linear case (m = 1) by Calderón and Torchinsky (1977) and in the bilinear case (m = 2) by Miyachi and Tomita (2013). We also prove a coordinate-type Hörmander integral condition...
Multilinear weak type interpolation of m n-tuples with applications
Multiple radially symmetric solutions for a quasilinear eigenvalue problem.
Multipliers and Unconditional Schauder bases in Besov spaces
Multivariate Interpolation and the Radon Transform.
Musielak-Orlicz-Sobolev spaces on metric measure spaces
Our aim in this paper is to study Musielak-Orlicz-Sobolev spaces on metric measure spaces. We consider a Hajłasz-type condition and a Newtonian condition. We prove that Lipschitz continuous functions are dense, as well as other basic properties. We study the relationship between these spaces, and discuss the Lebesgue point theorem in these spaces. We also deal with the boundedness of the Hardy-Littlewood maximal operator on Musielak-Orlicz spaces. As an application of the boundedness of the Hardy-Littlewood...
Musielak-Orlicz-Sobolev spaces with zero boundary values on metric measure spaces
We define and study Musielak-Orlicz-Sobolev spaces with zero boundary values on any metric space endowed with a Borel regular measure. We extend many classical results, including completeness, lattice properties and removable sets, to Musielak-Orlicz-Sobolev spaces on metric measure spaces. We give sufficient conditions which guarantee that a Sobolev function can be approximated by Lipschitz continuous functions vanishing outside an open set. These conditions are based on Hardy type inequalities....