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Characterizations of weighted Besov spaces
(Wiley VCH Verlag, 2006-12)
We define a class of weighted Besov spaces and we obtain a characterization of this class by means of an appropriate class of weighted Lipschitz φ spaces.
Weighted convolution inequalities for radial functions
(Springer Heidelberg, 2015-02)
We obtain convolution inequalities in Lebesgue and Lorentz spaces with power weights when the functions involved are assumed to be radially symmetric. We also present applications of these results to inequalities for Riesz ...
Weighted embedding theorems for radial Besov and Triebel-Lizorkin spaces
(Polish Academy of Sciences. Institute of Mathematics, 2016-05)
We study the continuity and compactness of embeddings for radial Besov and Triebel-Lizorkin spaces with weights in the Muckenhoupt class A∞. The main tool is a discretization in terms of an almost orthogonal wavelet expansion ...
Weighted inequalities for the fractional Laplacian and the existence of extremals
(World Scientific, 2019-05)
In this paper, we obtain improved versions of Stein-Weiss and Caffarelli-Kohn-Nirenberg inequalities, involving Besov norms of negative smoothness. As an application of the former, we derive the existence of extremals of ...
On A Bilinear Estimate In Weak-morrey Spaces And Uniqueness For Navier-stokes Equations
(ELSEVIER SCIENCE BVAMSTERDAM, 2016)