Duván Cardona

activity

20162024

most cited

L^{p}

L^{q}

boundedness of pseudo-differential operators on graded Lie groups

1 citations · 4 across the 15 of their papers we have counts for

collaborators

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11 papers · 1 filter

math.AP2024

Nuclearity, Schatten-von Neumann classes, distribution of eigenvalues and $L^{p}$ - $L^{q}$ -boundedness of Fourier integral operators on compact manifolds

Duván Cardona, Julio Delgado, Michael Ruzhansky

We link Sogge's type $L^{p}$ -estimates for eigenfunctions of the Laplacian on compact manifolds with the problem of providing criteria for the $r$ -nuclearity of Fourier integral oper…

math.AP2024

Well-posedness for a class of pseudo-differential hyperbolic equations on the torus

Duvan Cardona, Julio Delgado, Michael Ruzhansky

In this paper we establish the well-posedness of the Cauchy problem for a class of pseudo-differential hyperbolic equations on the torus. The class considered here includes a space…

math.AP2024

Pseudo-differential operators on Homogeneous vector bundles over compact homogeneous manifolds

Duván Cardona, Vishvesh Kumar, Michael Ruzhansky

In this work, we introduce a global theory of subelliptic pseudo-differential operators on arbitrary homogeneous vector bundles over orientable compact homogeneous manifolds. We wi…

math.AP2024

Anharmonic semigroups and applications to global well-posedness of nonlinear heat equations

Duván Cardona, Marianna Chatzakou, Julio Delgado +2

In this work we consider the semigroup $e^{- t A_{k, ℓ}^{γ}}$ for $γ > 0$ associated to an anharmonic oscillator of the form $A_{k, ℓ} = (- Δ)^{ℓ} + ∣ x ∣^{2 k}$ …

math.AP2024★ 1 cited

Estimates for the full maximal function on graded Lie groups

Duván Cardona

On $R^{n},$ a classical result due to Bourgain establishes the restricted weak $(\frac{n}{n - 1}, 1)$ inequality for the full maximal function $M_{F}^{d σ}$ associated to the sphe…

math.AP2023

$L^{p}$ - $L^{q}$ estimates for subelliptic pseudo-differential operators on compact Lie groups

Duván Cardona, Julio Delgado, Vishvesh Kumar +1

We establish the $L^{p}$ - $L^{q}$ -boundedness of subelliptic pseudo-differential operators on a compact Lie group $G$ . Effectively, we deal with the $L^{p}$ - $L^{q}$ -bounds for operators in…

Nuclearity, Schatten-von Neumann classes, distribution of eigenvalues and Lp-Lq-boundedness of Fourier integral operators on compact manifolds

Well-posedness for a class of pseudo-differential hyperbolic equations on the torus

Pseudo-differential operators on Homogeneous vector bundles over compact homogeneous manifolds

Anharmonic semigroups and applications to global well-posedness of nonlinear heat equations

Estimates for the full maximal function on graded Lie groups

Lp-Lq estimates for subelliptic pseudo-differential operators on compact Lie groups

Nuclearity, Schatten-von Neumann classes, distribution of eigenvalues and $L^{p}$ - $L^{q}$ -boundedness of Fourier integral operators on compact manifolds

$L^{p}$ - $L^{q}$ estimates for subelliptic pseudo-differential operators on compact Lie groups