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Multipliers of Laplace transform type for Laguerre and Hermite expansions

Pablo L. De Nápoli; Irene Drelichman; Ricardo G. Durán — 2011

Studia Mathematica

We present a new criterion for the weighted $L^{p} - L^{q}$ boundedness of multiplier operators for Laguerre and Hermite expansions that arise from a Laplace-Stieltjes transform. As a special case, we recover known results on weighted estimates for Laguerre and Hermite fractional integrals with a unified and simpler approach.

Weighted embedding theorems for radial Besov and Triebel-Lizorkin spaces

Pablo L. De Nápoli; Irene Drelichman; Nicolas Saintier — 2016

Studia Mathematica

We study the continuity and compactness of embeddings for radial Besov and Triebel-Lizorkin spaces with weights in the Muckenhoupt class $A_{\infty}$ . The main tool is a discretization in terms of an almost orthogonal wavelet expansion adapted to the radial situation.

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Currently displaying 1 – 5 of 5

Multipliers of Laplace transform type for Laguerre and Hermite expansions

Weighted embedding theorems for radial Besov and Triebel-Lizorkin spaces

Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems.

Eigenvalues of the $p$ -Laplacian and disconjugacy criteria.

Existence of solutions to $n$ -dimensional pendulum-like equations.

Advanced Search

Formula preview

Currently displaying 1 – 5 of 5

Multipliers of Laplace transform type for Laguerre and Hermite expansions

Weighted embedding theorems for radial Besov and Triebel-Lizorkin spaces

Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems.

Eigenvalues of the p -Laplacian and disconjugacy criteria.

Existence of solutions to n -dimensional pendulum-like equations.

Eigenvalues of the $p$ -Laplacian and disconjugacy criteria.

Existence of solutions to $n$ -dimensional pendulum-like equations.