Zobrazeno 1 - 10
of 131
pro vyhledávání: '"Meda, Stefano"'
Autor:
Meda, Stefano, Santagati, Federico
We introduce the centred and the uncentred triangular maximal operators $\mathcal T$ and $\mathcal U$, respectively, on any locally finite tree in which each vertex has at least three neighbours. We prove that both $\mathcal T$ and $\mathcal U$ are b
Externí odkaz:
http://arxiv.org/abs/2312.06595
In this paper we study the $L^p$ boundedness of the centred and the uncentred Hardy--Littlewood maximal operators on the class $\Upsilon_{a,b}$, $2\leq a\leq b$, of trees with $(a,b)$-bounded geometry. We find the sharp range of $p$, depending on $a$
Externí odkaz:
http://arxiv.org/abs/2308.07128
In this paper we investigate the validity of first and second order $L^{p}$ estimates for the solutions of the Poisson equation depending on the geometry of the underlying manifold. We first present $L^{p}$ estimates of the gradient under the assumpt
Externí odkaz:
http://arxiv.org/abs/2207.08545
Publikováno v:
Journal of Functional Analysis, 286 no. 3 (2024), article number: 110240
In this paper we establish inclusions and noninclusions between various Hardy type spaces on noncompact Riemannian manifolds $M$ with Ricci curvature bounded from below, positive injectivity radius and spectral gap. Our first main result states that,
Externí odkaz:
http://arxiv.org/abs/2207.02532
We establish sharp-in-time kernel and dispersive estimates for the Schr\"odinger equation on non-compact Riemannian symmetric spaces of any rank. Due to the particular geometry at infinity and the Kunze-Stein phenomenon, these properties are more pro
Externí odkaz:
http://arxiv.org/abs/2104.00265
Publikováno v:
In Journal of Functional Analysis 1 February 2024 286(3)
Publikováno v:
Mathematische Zeitschrift, 300 n. 2 (2022), p. 1705-1739
We prove a radial maximal function characterisation of the local atomic Hardy space h^1(M) on a Riemannian manifold M with positive injectivity radius and Ricci curvature bounded from below. As a consequence, we show that an integrable function belon
Externí odkaz:
http://arxiv.org/abs/2103.03016
Autor:
Meda, Stefano, Veronelli, Giona
We prove that if $\tau$ is a large positive number, then the atomic Goldberg-type space $\mathfrak{h}^1(N)$ and the space $\mathfrak{h}_{\mathcal R_\tau}^1(N)$ of all integrable functions on $N$ whose local Riesz transform $\mathcal R_\tau$ is integr
Externí odkaz:
http://arxiv.org/abs/2008.11460
Akademický článek
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Publikováno v:
Annali di Matematica Pura ed Applicata, 199 (2020), p. 2061-2085
We introduce a decreasing one-parameter family $\mathfrak{X}^{\gamma}(M)$, $\gamma>0$, of Banach subspaces of the Hardy-Goldberg space $\mathfrak{h}^1(M)$ on certain nondoubling Riemannian manifolds with bounded geometry and we investigate their prop
Externí odkaz:
http://arxiv.org/abs/1908.10057