82 citations · 229 across the 29 of their papers we have counts for
19 papers · 1 filter
Sharp Time-Decay Estimates for Fractional Heat Semigroups Associated with Polynomial Anharmonic Oscillators
Julio Delgado, Vishvesh Kumar, Shyam Swarup Mondal
We investigate fractional heat semigroups generated by a class of anharmonic oscillators on of the form where and…
On the differentiability of the Sobolev norm of on compact Riemannian manifolds
Duvan Cardona, Julio Delgado, Andres Felipe Muñoz-Tello
In this work we study the differentiability for the Sobolev norm of in the sense of Gâteaux , where is an arbitrary closed Riemannian manifold.
Schatten-von Neumann classes of tensors of invariant operators
Julio Delgado, Liliana Posada, Michael Ruzhansky
In this work we study Schatten-von Neumann classes of tensor products of invariant operators on Hilbert spaces. In the first part we first deduce some spectral properties for tenso…
Boundedness of the dyadic maximal function on graded Lie groups
Duván Cardona, Julio Delgado, Michael Ruzhansky
Let and let It was proved independently by C. Calderón, R. Coifman and G. Weiss that the dyadic maximal function \begin{equation*} \mathcal{M}^{dσ}_Df(x…
Fundamental solution of the Vladimirov-Taibleson operator on noncommutative Vilenkin groups
Julio delgado, Juan Pablo Velasquez-Rodriguez
The fundamental solution and the heat semigroup of the Vladimirov-Taibleson operator on constant-order noncommutative Vilenkin groups are obtained, together with some estimates on…
On a class of anharmonic oscillators II. General case
Marianna Chatzakou, Julio Delgado, Michael Ruzhansky
In this work we study a class of anharmonic oscillators on corresponding to Hamiltonians of the form , where and are functions…
On the set of Gâteaux differentiability of the norm
Julio Delgado, Andrés F. Muñoz-Tello
Let be a measure space. In this paper we establish the set of Gâteaux differentiability for the usual norm of and the corresponding derivative f…
Determinants and Plemelj-Smithies formulas
Duván Cardona, Julio Delgado, Michael Ruzhansky
We establish Plemelj-Smithies formulas for determinants in different algebras of operators. In particular we define a Poincaré type determinant for operators on the torus $\Tn$ and…
Schatten-von Neumann classes of integral operators
Julio Delgado, Michael Ruzhansky
In this work we establish sharp kernel conditions ensuring that the corresponding integral operators belong to Schatten-von Neumann classes. The conditions are given in terms of th…
Fourier multipliers in Hilbert spaces
Julio Delgado, Michael Ruzhansky
This is a survey on a notion of invariant operators, or Fourier multipliers on Hilbert spaces. This concept is defined with respect to a fixed partition of the space into a direct…
Titchmarsh theorems for Fourier transforms of Hölder-Lipschitz functions on compact homogeneous manifolds
Radouan Daher, Julio Delgado, Michael Ruzhansky
In this paper we extend classical Titchmarsh theorems on the Fourier transform of Hölder-Lipschitz functions to the setting of compact homogeneous manifolds. As an application, we…
Grothendieck-Lidskii trace formula for mixed-norm and variable Lebesgue spaces
Julio Delgado, Michael Ruzhansky, Baoxiang Wang
In this note we present the metric approximation property for weighted mixed-norm and variable exponent Lebesgue type spaces. As a consequence, this also i…
The bounded approximation property of variable Lebesgue spaces and nuclearity
Julio Delgado, Michael Ruzhansky
In this paper we prove the bounded approximation property for variable exponent Lebesgue spaces, study the concept of nuclearity on such spaces and apply it to trace formulae such…
Approximation property and nuclearity on mixed-norm , modulation and Wiener amalgam spaces
Julio Delgado, Michael Ruzhansky, Baoxiang Wang
In this paper we first prove the metric approximation property for weighted mixed-norm spaces. Using Gabor frame representation this implies that the same…
Kernel and symbol criteria for Schatten classes and -nuclearity on compact manifolds
Julio Delgado, Michael Ruzhansky
In this note we present criteria on both symbols and integral kernels ensuring that the corresponding operators on compact manifolds belong to Schatten classes. A specific test for…
Fourier multipliers, symbols and nuclearity on compact manifolds
Julio Delgado, Michael Ruzhansky
The notion of invariant operators, or Fourier multipliers, is discussed for densely defined operators on Hilbert spaces, with respect to a fixed partition of the space into a direc…
Schatten classes on compact manifolds: Kernel conditions
Julio Delgado, Michael Ruzhansky
In this paper we give criteria on integral kernels ensuring that integral operators on compact manifolds belong to Schatten classes. A specific test for nuclearity is established a…
Lp-Nuclearity, traces, and Grothendieck-Lidskii formula on compact Lie groups
Julio Delgado, Michael Ruzhansky
Given a compact Lie group , in this paper we give symbolic criteria for operators to be nuclear and r-nuclear on Lp-spaces, with applications to distribution of eigenvalues and…
Schatten classes and traces on compact groups
Julio Delgado, Michael Ruzhansky
In this paper we present symbolic criteria for invariant operators on compact topological groups characterising the Schatten-von Neumann classes for all $0<r\…