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Now showing items 11-15 of 15

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Two-weight mixed norm estimates for a generalized spherical mean Radon transform acting on radial functions 

Ciaurri Ó.; Nowak, A.; Roncal, L.Autoridad BCAM (2018)
We investigate a generalized spherical means operator, viz. generalized spherical mean Radon transform, acting on radial functions. We establish an integral representation of this operator and find precise estimates of ...
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Vector-valued extensions for fractional integrals of Laguerre expansions 

Ciaurri Ó.; Roncal, L.Autoridad BCAM (2018)
We prove some vector-valued inequalities for fractional integrals defined for several orthonormal systems of Laguerre functions. On the one hand, we obtain weighted $L^p-L^q$ vector-valued extensions, in a multidimensional ...
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Nonlocal discrete diffusion equations and the fractional discrete Laplacian, regularity and applications 

Ciaurri Ó.; Roncal, L.Autoridad BCAM; Stinga, P.R.; Torrea, J.L.; Varona, J.L. (2018)
The analysis of nonlocal discrete equations driven by fractional powers of the discrete Laplacian on a mesh of size $h>0$ \[ (-\Delta_h)^su=f, \] for $u,f:\Z_h\to\R$, $0<s<1$, is performed. The pointwise nonlocal ...
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Hardy-type inequalities for fractional powers of the Dunkl-Hermite operator 

Ciaurri Ó.; Roncal, L.Autoridad BCAM; Thangavelu, S. (2018)
We prove Hardy-type inequalities for a fractional Dunkl–Hermite operator, which incidentally gives Hardy inequalities for the fractional harmonic oscillator as well. The idea is to use h-harmonic expansions to reduce the ...
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Bilinear representation theorem 

Li, K.; Martikainen, H.; Ou, Y.; Vuorinen, E. (2018-01-01)
We represent a general bilinear Calderón--Zygmund operator as a sum of simple dyadic operators. The appearing dyadic operators also admit a simple proof of a sparse bound. In particular, the representation implies a so ...
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AuthorRoncal, L. (6)Ciaurri Ó. (4)Li, K. (4)Pérez, C. (4)Rivera-Ríos, I. (4)Caro, P. (3)Accomazzo, N. (1)Cejas, M.E. (1)Helin, T. (1)Kian, Y. (1)... másSubject$A_1$ and $A_{\infty}$ weights (1)$A_p$ weights (1)$C_p$ estimates (1)$T1$ theorems (1)42B25 (1)42B30 (1)42B35 (1)46E35 (primary) (1)bilinear analysis (1)Calder\'on--Zygmund operators (1)... másFecha
2018 (15)

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