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Kato–Ponce estimates for fractional sublaplacians in the Heisenberg group 

Fanelli, L.Autoridad BCAM; Roncal, L.Autoridad BCAM (2022-11-04)
We give a proof of commutator estimates for fractional powers of the sublaplacian on the Heisenberg group. Our approach is based on pointwise and $L^p$ estimates involving square fractional integrals and Littlewood--Paley ...
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On the advection-diffusion equation with rough coefficients: Weak solutions and vanishing viscosity 

Bonicatto, P.; Ciampa, G.; Crippa, G. (2022-11-01)
We deal with the vanishing viscosity scheme for the transport/continuity equation ∂tu+div(ub)=0 drifted by a divergence-free vector field b. Under general Sobolev assumptions on b, we show the convergence of such scheme ...
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Sawyer-type inequalities for Lorentz spaces 

Pérez, C.Autoridad BCAM; Roure-Perdices, E. (2022-06)
The Hardy-Littlewood maximal operator M satisfies the classical Sawyer-type estimate ∥Mfv∥L1,∞(uv)≤Cu,v‖f‖L1(u),where u∈ A1 and uv∈ A∞. We prove a novel extension of this result to the general restricted weak type case. ...
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A∞ condition for general bases revisited: complete classification of definitions 

Kosz, D.Autoridad BCAM (2022-05-27)
We refer to the discussion on different characterizations of the A∞ class of weights, initiated by Duoandikoetxea, Martín-Reyes, and Ombrosi [Math. Z. 282 (2016), pp. 955–972]. Twelve definitions of the A∞ condition ...
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Maximal operators on the infinite-dimensional torus 

Roncal, Luz; Kosz, D.Autoridad BCAM; Martínez-Perales, J.; Paternostro, V.; Rela, E.; Roncal, L.Autoridad BCAM (2022-03-31)
We study maximal operators related to bases on the infinite-dimensional torus $\tom$. {For the normalized Haar measure $dx$ on $\mathbb{T}^\omega$ it is known that $M^{\mathcal{R}_0}$, the maximal operator associated with ...
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Rotational smoothing 

Caro, P.; Meroño, C.; Parissis, I. (2022-01-05)
Rotational smoothing is a phenomenon consisting in a gain of regularity by means of averaging over rotations. This phenomenon is present in operators that regularize only in certain directions, in contrast to operators ...
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Polynomial averages and pointwise ergodic theorems on nilpotent groups 

Ionescu, A. D.; Magyar, A.; Mirek, M.; Szarek, T.Z.Autoridad BCAM (2022)
We establish pointwise almost everywhere convergence for ergodic averages along polynomial sequences in nilpotent groups of step two of measure-preserving transformations on $\sigma$-finite measure spaces. We also establish ...
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Notes on $H^{\log}$: structural properties, dyadic variants, and bilinear $H^1$-$BMO$ mappings 

Bakas, O.Autoridad BCAM; Pott, S.; Rodríguez-López, S.; Sola, A. (2022)
This article is devoted to a study of the Hardy space $H^{\log} (\mathbb{R}^d)$ introduced by Bonami, Grellier, and Ky. We present an alternative approach to their result relating the product of a function in the real Hardy ...
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The Frisch–Parisi formalism for fluctuations of the Schrödinger equation 

Kumar, S.; Ponce Vanegas, F.Autoridad BCAM; Roncal, L.Autoridad BCAM; Vega, L.Autoridad BCAM (2022)
We consider the solution of the Schrödinger equation $u$ in $\mathbb{R}$ when the initial datum tends to the Dirac comb. Let $h_{\text{p}, \delta}(t)$ be the fluctuations in time of $\int\lvert x \rvert^{2\delta}\lvert ...

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AuthorRoncal, L. (3)Kosz, D. (2)Bakas, O. (1)Bonicatto, P. (1)Caro, P. (1)Ciampa, G. (1)Crippa, G. (1)Fanelli, L. (1)Ionescu, A. D. (1)Kumar, S. (1)... másSubjectA and A weights p P R R (1)Advection-diffusion equation (1)Anomalous dissipation (1)fractional sublaplacians (1)Frisch--Parisi formalism (1)Haar wavelets (1)Heisenberg group (1)Infinite-dimensional torus (1)Kato--Ponce estimates (1)Littlewood--Paley square functions (1)... másFecha
2022 (9)

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