Zobrazeno 1 - 10
of 34
pro vyhledávání: '"Maria Vallarino"'
Publikováno v:
Journal of Differential Equations. 356:163-187
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::261d33b41ed390535f66b54aae98df8d
https://doi.org/10.1016/j.jde.2023.02.003
https://doi.org/10.1016/j.jde.2023.02.003
Publikováno v:
Bulletin of the London Mathematical Society. 54:2162-2173
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b7c8bb6c291773be68c1ef8eaaf401ed
https://doi.org/10.1112/blms.12684
https://doi.org/10.1112/blms.12684
Publikováno v:
Journal of Fourier Analysis and Applications. 29
We prove the $$L^p$$ L p -boundedness, for $$p \in (1,\infty )$$ p ∈ ( 1 , ∞ ) , of the first order Riesz transform associated to the flow Laplacian on a homogeneous tree with the canonical flow measure. This result was previously proved to hold
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::78bd07cdac90e5892c77abc6e03ec673
https://doi.org/10.1007/s00041-023-09999-x
https://doi.org/10.1007/s00041-023-09999-x
Publikováno v:
Annali di Matematica Pura ed Applicata (1923 -). 199:2061-2085
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::06afa71f9aee6030e090ef54c4f9386f
https://doi.org/10.1007/s10231-020-00956-9
https://doi.org/10.1007/s10231-020-00956-9
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e9a2d866ff41dd76d19d2c92c67d129b
http://hdl.handle.net/11583/2926192
http://hdl.handle.net/11583/2926192
Publikováno v:
Mathematische Annalen. 377:335-377
In this paper we develop a theory of Besov and Triebel–Lizorkin spaces on general noncompact connected Lie groups endowed with a sub-Riemannian structure. Such spaces are defined by means of hypoelliptic sub-Laplacians with drift, and endowed with
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::671c71746199c49d39d858c45d4663ef
https://doi.org/10.1007/s00208-019-01927-z
https://doi.org/10.1007/s00208-019-01927-z
Publikováno v:
Geometric Aspects of Harmonic Analysis ISBN: 9783030720575
In this paper we discuss function spaces on a general noncompact Lie group, namely the scales of Triebel–Lizorkin and Besov spaces, defined in terms of a sub-Laplacian with drift. The sub-Laplacian is written as the (negative) sum of squares of a c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::62243c287989bbd12fc1217a3ebeeb5b
https://doi.org/10.1007/978-3-030-72058-2_4
https://doi.org/10.1007/978-3-030-72058-2_4
Publikováno v:
Geometric Properties for Parabolic and Elliptic PDE's ISBN: 9783030733629
We study Hardy-type inequalities on infinite homogeneous trees. More precisely, we derive optimal Hardy weights for the combinatorial Laplacian in this setting and we obtain, as a consequence, optimal improvements for the Poincare inequality.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::53378ef6f70a1e97ac5ce4f18d624b76
https://doi.org/10.1007/978-3-030-73363-6_1
https://doi.org/10.1007/978-3-030-73363-6_1
We consider trees with root at infinity endowed with flow measures, which are nondoubling measures of at least exponential growth and which do not satisfy the isoperimetric inequality. In this setting, we develop a Calderon-Zygmund theory and we defi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::acc3e9b35c4d8858cf1293073edaf1ca
In this paper we estimate the Sobolev embedding constant on general noncompact Lie groups, for sub-Riemannian inhomogeneous Sobolev spaces endowed with a left invariant measure. The bound that we obtain, up to a constant depending only on the group a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b47327611cbd9b1aa0b26df7613941dc