Results 51 to 60 of about 276 (144)
Potential trace inequalities via a Calderón‐type theorem
Abstract In this paper, we develop a general theoretical tool for the establishment of the boundedness of notoriously difficult operators (such as potentials) on certain specific types of rearrangement‐invariant function spaces from analogous properties of operators that are easier to handle (such as fractional maximal operators).
Zdeněk Mihula +2 more
wiley +1 more source
This paper studies production economies in a commodity space that is an ordered locally convex space. We establish a general theorem on the existence of equilibrium without requiring that the commodity space or its dual be a vector lattice.
Monique Florenzano +2 more
core
The weak (1,1) boundedness of Fourier integral operators with complex phases
Abstract Let T$T$ be a Fourier integral operator of order −(n−1)/2$-(n-1)/2$ associated with a canonical relation locally parametrised by a real‐phase function. A fundamental result due to Seeger, Sogge and Stein proved in the 90's gives the boundedness of T$T$ from the Hardy space H1$H^1$ into L1$L^1$. Additionally, it was shown by T.
Duván Cardona, Michael Ruzhansky
wiley +1 more source
This dissertation is primarily concerned with the analysis of mathematical models that arise in the study of polarisable electrostatics, either in the context of dielectric particles undergoing mutual polarisation or implicit solvation modelling in ...
Hassan, Muhammad
core +1 more source
Sharp commutator estimates of all order for Coulomb and Riesz modulated energies
Abstract We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super‐Coulomb Riesz modulated energy in terms of the modulated energy itself. This modulated energy was introduced by the second author and collaborators in the study of mean‐field limits and statistical mechanics of ...
Matthew Rosenzweig, Sylvia Serfaty
wiley +1 more source
Dimer models and conformal structures
Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala +3 more
wiley +1 more source
L p -estimates for the heat semigroup on differential forms, and related problems
We consider a complete non-compact Riemannian manifold satisfying the volume doubling property and a Gaussian upper bound for its heat kernel (on functions). Let − → ∆ k be the Hodge-de Rham Laplacian on differential k-forms with k ≥ 1.
MAGNIEZ, Jocelyn, MAATI OUHABAZ, El
core +1 more source
Multiplicative Riesz decomposition on the ring of matrices over a totally ordered field
The Riesz Decomposition Theorem for lattice ordered groups asserts that when G is an l-group and when a nonnegative element a is bounded by a product of nonnegative elements b1,...,bn, then a can be decomposed into a product of nonnegative elements b ...
Urenda Castaneda, Julio Cesar +1 more
core +1 more source
The basis property of eigenfunctions in the problem of a nonhomogeneous damped string
The equation which describes the small vibrations of a nonhomogeneous damped string can be rewritten as an abstract Cauchy problem for the densely defined closed operator \(i A\).
Łukasz Rzepnicki +2 more
core +1 more source
Sampling : Riesz bases of exponentials, shift-preserving operators and dynamical sampling [PDF]
[fórmulas aproximadas, revisar las mismas en el original] En esta tesis se estudian tres problemas cuya motivación tiene origen en la teoría del muestreo.
Carbajal, Diana Agustina
core +1 more source

