J. Delgado

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20242026

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math.FA2026

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 $R^{n}$ of the form $H_{P, Q} = Q (D) + P (x),$ where $P \in P_{2 k}$ and…

math.FA2026

On the differentiability of the Sobolev norm of $W^{k, 1} (M)$ on compact Riemannian manifolds

Duvan Cardona, Julio Delgado, Andres Felipe MuÃ±oz-Tello

In this work we study the differentiability for the Sobolev norm of $W^{k, 1} (M)$ in the sense of GÃ¢teaux , where $(M, g)$ is an arbitrary closed Riemannian manifold.

math.FA2025

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…

Sharp Time-Decay Estimates for Fractional Heat Semigroups Associated with Polynomial Anharmonic Oscillators

On the differentiability of the Sobolev norm of Wk,1(M) on compact Riemannian manifolds

Schatten-von Neumann classes of tensors of invariant operators

On the differentiability of the Sobolev norm of $W^{k, 1} (M)$ on compact Riemannian manifolds