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Correlation imaging in inverse scattering is tomography on probability distributions 

Caro, P.; Helin, T.; Kujanpää, A.; Lassas, M. (2018-12-04)
Scattering from a non-smooth random field on the time domain is studied for plane waves that propagate simultaneously through the potential in variable angles. We first derive sufficient conditions for stochastic moments ...
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Regularity of maximal functions on Hardy–Sobolev spaces 

Pérez, C.Autoridad BCAM; Picón, T.; Saari, Olli; Sousa, Mateus (2018-12-01)
We prove that maximal operators of convolution type associated to smooth kernels are bounded in the homogeneous Hardy–Sobolev spaces H1,p(Rd) when p > d/(d + 1). This range of exponents is sharp. As a by-product of the ...
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Determination of convection terms and quasi-linearities appearing in diffusion equations 

Caro, P.; Kian, Y. (2018-12)
We consider the highly nonlinear and ill posed inverse problem of determining some general expression appearing in the a diffusion equation from measurements of solutions on the lateral boundary. We consider both linear ...
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Unique determination of the electric potential in the presence of a fixed magnetic potential in the plane 

Caro, P.; Rogers, K. (2018-12)
For electric and magnetic potentials with compact support, we consider the magnetic Schrödinger equation with fixed positive energy. Under a mild additional regularity hypothesis, and with fixed magnetic potential, we show ...
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Vector-valued operators, optimal weighted estimates and the $C_p$ condition 

Cejas, M.E.; Li, K.; Pérez, C.Autoridad BCAM; Rivera-Ríos, I.P. (2018-09)
In this paper some new results concerning the $C_p$ classes introduced by Muckenhoupt and later extended by Sawyer, are provided. In particular we extend the result to the full range expected $p>0$, to the weak norm, to ...
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Proof of an extension of E. Sawyer's conjecture about weighted mixed weak-type estimates 

Li, K.; Ombrosi, S.; Pérez, C.Autoridad BCAM (2018-09)
We show that if $v\in A_\infty$ and $u\in A_1$, then there is a constant $c$ depending on the $A_1$ constant of $u$ and the $A_{\infty}$ constant of $v$ such that $$\Big\|\frac{ T(fv)} {v}\Big\|_{L^{1,\infty}(uv)}\le c\, ...
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Weighted norm inequalities for rough singular integral operators 

Li, K.; Pérez, C.Autoridad BCAM; Rivera-Ríos, I.P.; Roncal, L.Autoridad BCAM (2018-08-17)
In this paper we provide weighted estimates for rough operators, including rough homogeneous singular integrals $T_\Omega$ with $\Omega\in L^\infty(\mathbb{S}^{n-1})$ and the Bochner--Riesz multiplier at the critical index ...
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On Bloom type estimates for iterated commutators of fractional integrals 

Accomazzo, N.; Martinez-Perales, J.C.; Rivera-Ríos, I.P. (2018-04)
In this paper we provide quantitative Bloom type estimates for iterated commutators of fractional integrals improving and extending results from [15]. We give new proofs for those inequalities relying upon a new sparse ...
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Quantitative weighted estimates for singular integrals and commutators 

Rivera-Ríos, I.P. (2018-02-27)
In this dissertation several quantitative weighted estimates for singular integral op- erators, commutators and some vector valued extensions are obtained. In particular strong and weak type $(p, p)$ estimates, Coifman-Fe ...
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Hölder-Lebesgue regularity and almost periodicity for semidiscrete equations with a fractional Laplacian 

Lizama, C.; Roncal, L.Autoridad BCAM (2018)
We study the equations $ \partial_t u(t,n) = L u(t,n) + f(u(t,n),n); \partial_t u(t,n) = iL u(t,n) + f(u(t,n),n)$ and $ \partial_{tt} u(t,n) =Lu(t,n) + f(u(t,n),n)$, where $n\in \mathbb{Z}$, $t\in (0,\infty)$, and $L$ ...
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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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