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Convergence over fractals for the Schrödinger equation 

Luca, R.; Ponce-Vanegas, F. (2021-01)
We consider a fractal refinement of the Carleson problem for the Schrödinger equation, that is to identify the minimal regularity needed by the solutions to converge pointwise to their initial data almost everywhere with ...
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Extensions of the John-Nirenberg theorem and applications 

Canto, J.; Pérez, C. (2021)
The John–Nirenberg theorem states that functions of bounded mean oscillation are exponentially integrable. In this article we give two extensions of this theorem. The first one relates the dyadic maximal function to the ...
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Generalized Poincaré-Sobolev inequalities 

Martínez-Perales, J. (2020-12)
Poincaré-Sobolev inequalities are very powerful tools in mathematical analysis which have been extensively used for the study of differential equations and their validity is intimately related with the geometry of the ...
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A Bilinear Strategy for Calderón’s Problem 

Ponce Vanegas, F. (2020-05)
Electrical Impedance Imaging would suffer a serious obstruction if two different conductivities yielded the same measurements of potential and current at the boundary. The Calderón’s problem is to decide whether the ...
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Topics in Harmonic Analysis; commutators and directional singular integrals 

Accomazzo, N. (2020-03-01)
This dissertation focuses on two main topics: commutators and maximal directional operators. Our first topic will also distinguish between two cases: commutators of singular integral operators and BMO functions and ...
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A Decomposition of Calderón–Zygmund Type and Some Observations on Differentiation of Integrals on the Infinite-Dimensional Torus 

Fernández, E.; Roncal, L. (2020-02-13)
In this note we will show a Calder\'on--Zygmund decomposition associated with a function $f\in L^1(\mathbb{T}^{\omega})$. The idea relies on an adaptation of a more general result by J. L. Rubio de Francia in the setting ...
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A note on generalized Poincaré-type inequalities with applications to weighted improved Poincaré-type inequalities 

Martinez-Perales, J.C. (2020)
The main result of this paper supports a conjecture by C. P\'erez and E. Rela about the properties of the weight appearing in their recent self-improving result of generalized inequalities of Poincar\'e-type in the Euclidean ...
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Sharp reverse Hölder inequality for Cp weights and applications 

Canto, J. (2020)
We prove an appropriate sharp quantitative reverse Hölder inequality for the $C_p$ class of weights fromwhich we obtain as a limiting case the sharp reverse Hölder inequality for the $A_\infty$ class of weights (Hytönen ...
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Multilinear operator-valued calderón-zygmund theory 

Di Plinio, F.; Li, K.; Martikainen, H.; Vuorinen, E. (2020)
We develop a general theory of multilinear singular integrals with operator- valued kernels, acting on tuples of UMD Banach spaces. This, in particular, involves investigating multilinear variants of the R-boundedness ...
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Maximal estimates for a generalized spherical mean Radon transform acting on radial functions 

Ciaurri Ó.; Nowak, A.; Roncal, L. (2020)
We study a generalized spherical means operator, viz.\ generalized spherical mean Radon transform, acting on radial functions. As the main results, we find conditions for the associated maximal operator and its local ...
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AutorLi, K. (18)Roncal, L. (15)Pérez, C. (12)Rivera-Ríos, I.P. (12)Caro, P. (8)Martikainen, H. (7)Vuorinen, E. (7)Ombrosi, S. (6)Ciaurri Ó. (5)Di Plinio, F. (3)... másMateriacommutators (4)Calderón-Zygmund operators (3)Infinite dimensional torus (3)representation theorems (3)sparse domination (3)weights (3)$A_p$ weights (2)bilinear analysis (2)Bloom's inequality (2)Calder\'on--Zygmund operators (2)... másFecha2021 (2)2020 (8)2019 (18)2018 (14)2017 (11)2016 (11)

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