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Counterexamples for the fractal Schrödinger convergence problem with an Intermediate Space Trick 

Eceizabarrena, D.; Ponce Vanegas, F.Autoridad BCAM (2021-12-09)
We construct counterexamples for the fractal Schrödinger convergence problem by combining a fractal extension of Bourgain's counterexample and the intermediate space trick of Du--Kim--Wang--Zhang. We confirm that the same ...
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Discrete Carleman estimates and three balls inequalities 

Fernández-Bertolin, A.; Roncal, L.Autoridad BCAM; Rüland, A.; Stan, D. (2021-10-16)
We prove logarithmic convexity estimates and three balls inequalities for discrete magnetic Schrödinger operators. These quantitatively connect the discrete setting in which the unique continuation property fails and the ...
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Pointwise Convergence over Fractals for Dispersive Equations with Homogeneous Symbol 

Eceizabarrena, D.; Ponce Vanegas, F.Autoridad BCAM (2021-08-24)
We study the problem of pointwise convergence for equations of the type $i\hbar\partial_tu + P(D)u = 0$, where the symbol $P$ is real, homogeneous and non-singular. We prove that for initial data $f\in H^s(\mathbb{R}^n)$ ...
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Bilinear Spherical Maximal Functions of Product Type 

Roncal, L.Autoridad BCAM; Shrivastava, S.; Shuin, K. (2021-08-12)
In this paper we introduce and study a bilinear spherical maximal function of product type in the spirit of bilinear Calderón–Zygmund theory. This operator is different from the bilinear spherical maximal function considered ...
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Variation bounds for spherical averages 

Beltran, D.; Oberlin, R.; Roncal, L.Autoridad BCAM; Stovall, B.; Seeger, A. (2021-06-22)
We consider variation operators for the family of spherical means, with special emphasis on $L^p\to L^q$ estimates
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Corrigendum to: An extension problem and trace Hardy inequality for the sublaplacian on H-type groups 

Roncal, L.Autoridad BCAM; Thangavelu, S. (2021-03-10)
Recently we have found a couple of errors in our paper entitled An extension problem and trace Hardy inequality for the sub-Laplacian on $H$-type groups, Int. Math. Res. Not. IMRN (2020), no. 14, 4238--4294. They concern ...
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Extensions of the John-Nirenberg theorem and applications 

Canto, J.; Pérez, C.Autoridad BCAM (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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Degenerate Poincare-Sobolev inequalities 

Pérez, C.Autoridad BCAM; Rela, E. (2021)
Abstract. We study weighted Poincar ́e and Poincar ́e-Sobolev type in- equalities with an explicit analysis on the dependence on the Ap con- stants of the involved weights. We obtain inequalities of the form with different ...
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Convergence over fractals for the Schrödinger equation 

Lucà, R.Autoridad BCAM; Ponce Vanegas, F.Autoridad BCAM (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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Geometric Harmonic Analysis 

Canto, J.Autoridad BCAM (2021)
This thesis is the compilation of the results obtained during my PhD, which started in January 2018 and is being completed in the end of 2021. The main matter is divided into  ve chapters, Chapters 2 6. Each of these ...

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AuthorRoncal, L. (4)Ponce Vanegas, F. (3)Eceizabarrena, D. (2)Pérez, C. (2)Beltran, D. (1)Canto, J. (1)Canto, J. (1)Fernández-Bertolin, A. (1)Lucà, R. (1)Oberlin, R. (1)... másSubjectBourgain's counterexample (2)Hausdorff dimension (2)Bilinear spherical maximal functions (1)Bilinear weights (1)Carleson's problem (1)dispersive PDEs (1)fractal (1)intermediate space trick (1)Mass Transference Principle (1)mass transference principle (1)... másFecha
2021 (10)

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