Search Results - "Cardona, Duván"

Nuclear Pseudo-Differential Operators in Besov Spaces on Compact Lie Groups by Cardona, Duván

“…In this work we establish the metric approximation property for Besov spaces defined on arbitrary compact Lie groups. As a consequence of this fact, we…”
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Estimates for Sums of Eigenfunctions of Elliptic Pseudo-differential Operators on Compact Lie Groups by Cardona, Duván, Delgado, Julio, Ruzhansky, Michael

“…We extend the estimates proved by Donnelly and Fefferman, and by Lebeau, Robbiano and Zuazua, for sums of eigenfunctions of the Laplacian (on a compact…”
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Björk–Sjölin condition for strongly singular convolution operators on graded Lie groups by Cardona, Duván, Ruzhansky, Michael

“…In this work we extend the L 1 -Björk-Sjölin theory of strongly singular convolution operators to arbitrary graded Lie groups. Our criteria are presented in…”
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Oscillating singular integral operators on compact Lie groups revisited by Cardona, Duván, Ruzhansky, Michael

“…Fefferman (Acta Math 24:9–36, 1970, Theorem 2 ′ ) has proved the weak (1,1) boundedness for a class of oscillating singular integrals that includes the…”
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Littlewood-Paley Theorem, Nikolskii Inequality, Besov Spaces, Fourier and Spectral Multipliers on Graded Lie Groups by Cardona, Duván, Ruzhansky, Michael

“…In this paper we investigate Besov spaces on graded Lie groups. We prove a Nikolskii type inequality (or the Reverse Hölder inequality) on graded Lie groups…”
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Well-posedness for a class of pseudo-differential hyperbolic equations on the torus by Cardona, Duván, Delgado, Julio, Ruzhansky, Michael

“…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…”
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On the Benjamin–Ono equation in the half line by Cardona, Duván, Esquivel, Liliana

“…We consider the inhomogeneous Dirichlet initial–boundary value problem for the Benjamin–Ono equation formulated on the half line. We study the global in time…”
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On the boundedness of periodic pseudo-differential operators by Cardona, Duván

“…In this paper we investigate the L p -boundedness of certain classes of periodic pseudo-differential operators. The operators considered arise from the study…”
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Drift diffusion equations with fractional diffusion on compact Lie groups by Cardona, Duván, Delgado, Julio, Ruzhansky, Michael

“…In this work we investigate the well-posed for diffusion equations associated to subelliptic pseudo-differential operators on compact Lie groups. The diffusion…”
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Determinants and Plemelj-Smithies formulas by Cardona, Duván, Delgado, Julio, Ruzhansky, Michael

“…We establish Plemelj-Smithies formulas for determinants in different algebras of operators. In particular we define a Poincaré type determinant for operators…”
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Sharpness of Seeger-Sogge-Stein orders for the weak (1,1) boundedness of Fourier integral operators by Cardona, Duván, Ruzhansky, Michael

“…Let X and Y be two smooth manifolds of the same dimension. It was proved by Seeger et al. in (Ann Math 134(2): 231–251, 1991) that the Fourier integral…”
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Boundedness of pseudo-differential operators in subelliptic Sobolev and Besov spaces on compact Lie groups by Cardona, Duván, Ruzhansky, Michael

“…In this paper, we investigate the Besov spaces on compact Lie groups in a subelliptic setting, that is, associated with a family of vector fields, satisfying…”
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Pseudo-Differential Operators in Hölder Spaces Revisited: Weyl–Hörmander Calculus and Ruzhansky–Turunen Classes by Cardona, Duván

“…In this work, we obtain continuity results on Hölder spaces for operators belonging to a Weyl–Hörmander calculus for metrics such that the class of the…”
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The nuclear trace of periodic vector‐valued pseudo‐differential operators with applications to index theory by Cardona, Duván, Kumar, Vishvesh

“…In this paper we investigate the nuclear trace of vector‐valued Fourier multipliers on the torus and its applications to the index theory of periodic…”
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Besov continuity for pseudo-differential operators on compact homogeneous manifolds by Cardona, Duván

“…In this paper we study the Besov continuity of pseudo-differential operators on compact homogeneous manifolds M = G / K . We use the global quantization of…”
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On the index of pseudo-differential operators on compact Lie groups by Cardona, Duván

“…In this note we study the analytical index of pseudo-differential operators by using the notion of (infinite dimensional) operator-valued symbols (in the sense…”
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Fourier multipliers for Triebel–Lizorkin spaces on compact Lie groups by Cardona, Duván, Ruzhansky, Michael

“…We investigate the boundedness of Fourier multipliers on a compact Lie group when acting on Triebel-Lizorkin spaces. Criteria are given in terms of the…”
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Boundedness of the dyadic maximal function on graded Lie groups by Cardona, DuvÁn, Delgado, Julio, Ruzhansky, Michael

“…Abstract Let $1 \lt p\leq \infty$ and let $n\geq 2.$ It was proved independently by Calderón, Coifman and Weiss that the dyadic maximal function $$…”
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Hölder–Besov boundedness for periodic pseudo-differential operators by Cardona, Duván

“…In this work we give Hölder–Besov estimates for periodic Fourier multipliers. We present a class of bounded pseudo-differential operators on periodic Besov…”
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Weak type (1,1) bounds for a class of periodic pseudo-differential operators by Cardona, Duván

“…In this work we establish the weak (1,1) continuity for pseudo-differential operators with symbols in toroidal ( 1 , δ ) classes…”
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