Výsledky vyhledávání - "Sandrine Grellier"

Autor: Patrick Gérard, Sandrine Grellier

Publikováno v: Science China Mathematics. 62:1087-1100

We survey the main properties of the cubic Szegő equation from the PDE viewpoint, emphasising global existence of smooth solutions, analytic regularity, growth of high Sobolev norms and the effects of weak damping.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a23e56286ee824828398b5e60b0ca6f6
https://doi.org/10.1007/s11425-018-9497-0

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Behavior of holomorphic functions in complex tangential directions in a domain of finite type in Cn

Autor: Sandrine Grellier

Publikováno v: Recercat. Dipósit de la Recerca de Catalunya
instname
Publicacions Matemàtiques; Vol. 36, Núm. 1 (1992); p. 251-292
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona

Let O be a domain in Cn. It is known that a holomorphic function on O behaves better in complex tangential directions. When O is of finite type, the best possible improvement is quantified at each point by the distance to the boundary in the complex

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4efaff7649af44df1ba78a1376817008
http://hdl.handle.net/2072/391487

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Endpoint for the div-curl lemma in Hardy spaces

Autor: Justin Feuto, Sandrine Grellier, Aline Bonami

Publikováno v: Recercat. Dipósit de la Recerca de Catalunya
instname
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Publicacions Matemàtiques; Vol. 54, Núm. 2 (2010); p. 341-358
Publicacions Matematiques (Barcelona)
Publicacions Matematiques (Barcelona), 2010, pp.341-358
Publ. Mat. 54, no. 2 (2010), 341-358
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)

We give a $\operatorname{div}$-$\operatorname{curl}$ type lemma for the wedge product of closed differential forms on ${\mathbb R}^n$ when they have coefficients respectively in a Hardy space and $L^\infty$ or $\mathit{BMO}$. In this latter case, the

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http://hdl.handle.net/2072/391309

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Generic colourful tori and inverse spectral transform for Hankel operators

Autor: Sandrine Grellier, Patrick Gérard

Publikováno v: Tunisian J. Math. 1, no. 3 (2019), 347-372

This paper explores the regularity properties of an inverse spectral transform for Hilbert--Schmidt Hankel operators on the unit disc. This spectral transform plays the role of action-angles variables for an integrable infinite dimensional Hamiltonia

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c10e5799c7441a4b7e788569f05c6c0c
https://projecteuclid.org/euclid.tunis/1544842819

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Problème spectral inverse et équation de Szegö cubique

Autor: Sandrine Grellier, Patrick Gérard

Publikováno v: Séminaire Laurent Schwartz — EDP et applications. :1-11

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e44cefa680d588c121985717aeca4471
https://doi.org/10.5802/slsedp.11

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Inverse spectral problems for compact Hankel operators

Autor: Patrick Gérard, Sandrine Grellier

Publikováno v: Journal of the Institute of Mathematics of Jussieu. 13:273-301

Given two arbitrary sequences $({\lambda }_{j} )_{j\geq 1} $ and $({\mu }_{j} )_{j\geq 1} $ of real numbers satisfying $$\begin{eqnarray*}\displaystyle \vert {\lambda }_{1} \vert \gt \vert {\mu }_{1} \vert \gt \vert {\lambda }_{2} \vert \gt \vert {\m

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https://doi.org/10.1017/s1474748013000121

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ATOMIC DECOMPOSITION AND WEAK FACTORIZATION IN GENERALIZED HARDY SPACES OF CLOSED FORMS

Autor: Luong Dang Ky, Justin Feuto, Sandrine Grellier, Aline Bonami

We give an atomic decomposition of closed forms on R n , the coefficients of which belong to some Hardy space of Musielak-Orlicz type. These spaces are natural generalizations of weighted Hardy-Orlicz spaces, when the Orlicz function depends on the s

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::782e4a3a612825a771416b165dfe45c5
https://hal.archives-ouvertes.fr/hal-01256128

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Paraproducts and products of functions in BMO(Rn) and H1(Rn) through wavelets

Autor: Sandrine Grellier, Luong Dang Ky, Aline Bonami

Publikováno v: Journal de Mathématiques Pures et Appliquées. 97:230-241

In this paper, we prove that the product (in the distribution sense) of two functions, which are respectively in BMO ( R n ) and H 1 ( R n ) , may be written as the sum of two continuous bilinear operators, one from H 1 ( R n ) × BMO ( R n ) into L

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e4f98b0a73f78c9c5657e73ba2392c12
https://doi.org/10.1016/j.matpur.2011.06.002

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Hankel operators and weak factorization for Hardy–Orlicz spaces

Autor: Sandrine Grellier, Aline Bonami

Publikováno v: Colloquium Mathematicum. 118:107-132

We study the holomorphic Hardy-Orlicz spaces H^Φ(Ω), where Ω is the unit ball or, more generally, a convex domain of ﬁnite type or a strictly pseudoconvex domain in Cn . The function Φ is in particular such that H ^1(Ω) ⊂ H^Φ (Ω) ⊂ H

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::5dc76ce6a9cdbd4c1e8c0e76f9e729ba
https://doi.org/10.4064/cm118-1-5

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The cubic Szegő equation

Autor: Sandrine Grellier, Patrick Gérard

Publikováno v: Annales scientifiques de l'École normale supérieure. 43:761-810

We consider the following Hamiltonian equation on the $L^2$ Hardy space on the circle, $$i\partial _tu=\Pi(|u|^2u)\ ,$$ where $\Pi $ is the Szego projector. This equation can be seen as a toy model for totally non dispersive evolution equations. We d

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::480878c7d9866c281f7e298c8f3cbf14
https://doi.org/10.24033/asens.2133

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