Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems.
Eigenvalues of the -Laplacian and disconjugacy criteria.
Existence of solutions to -dimensional pendulum-like equations.
Multipliers of Laplace transform type for Laguerre and Hermite expansions
We present a new criterion for the weighted 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
We study the continuity and compactness of embeddings for radial Besov and Triebel-Lizorkin spaces with weights in the Muckenhoupt class . The main tool is a discretization in terms of an almost orthogonal wavelet expansion adapted to the radial situation.
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