Results 61 to 70 of about 12,322,898 (284)
Space of signatures as inverse limits of Carnot groups [PDF]
ESAIM: Control, Optimisation and Calculus of Variations, 2021 We formalize the notion of limit of an inverse system of metric spaces with 1-Lipschitz projections having unbounded fibers. The construction is applied to the sequence of free Carnot groups of fixed rank n and increasing step. In this case, the limit space is in correspondence with the space of signatures of rectifiable paths in ℝn, as introduced by ...
Roger Züst +2 more
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Morrey-Campanato Functional Spaces for Carnot Groups [PDF]
arXiv, 2023 We shortly review the historical path of Morrey-Campanato functional spaces and the fundamentals of Carnot groups. Then, we merge these two topics, by recovering several classical results concerning regularity of Morrey-Campanato spaces in the framework of Carnot groups.
arxiv
Rectifiability in Carnot Groups [PDF]
, 2022 This thesis is devoted to the study of the theory of rectifiability of sets and measures in the non smooth context of Carnot groups. The focus is on the study of the notion of P-rectifiability and its relation with other notions of rectifiability in ...
ANTONELLI, GIOACCHINO
core
APPROXIMATIONS OF SOBOLEV NORMS IN CARNOT GROUPS [PDF]
Communications in Contemporary Mathematics, 2011 This paper deals with a notion of Sobolev space W1, pintroduced by Bourgain, Brezis and Mironescu by means of a seminorm involving local averages of finite differences. This seminorm was subsequently used by Ponce to obtain a Poincaré-type inequality.
openaire +3 more sources
Intrinsic regular surfaces in Carnot groups
Bruno Pini Mathematical Analysis SeminarA Carnot group $G$ is a simply connected, nilpotent Lie group with stratified Lie algebra. Intrinsic regular surfaces in Carnot groups play the same role as C1 surfaces in Euclidean spaces.
Daniela Di Donato
doaj +1 more source
Frontiers in Physics, 2021 Solitons are coherent structures that describe the nonlinear evolution of wave localizations in hydrodynamics, optics, plasma and Bose-Einstein condensates.
Amin Chabchoub +12 more
doaj +1 more source
Angewandte Chemie International Edition, Accepted Article.We herein introduce a method for the direct a‐amination of different carbonyl compounds by employing aqueous ammonia as the N‐source. Upon using NH3 in combination with hypochlorites as simple oxidants under phase‐transfer catalytic conditions it is possible to carry out the direct a‐amination of reactive enolate‐precursors such as cyclic b‐ketoesters,
Christopher Mairhofer +6 more
wiley +1 more source
Geodesics in the Heisenberg Group
Analysis and Geometry in Metric Spaces, 2015 We provide a new and elementary proof for the structure of geodesics in the Heisenberg group Hn. The proof is based on a new isoperimetric inequality for closed curves in R2n.We also prove that the Carnot- Carathéodory metric is real analytic away from ...
Hajłasz Piotr, Zimmerman Scott
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A Comprehensive Review of Intramolecular Hydrosilylation of Alkynes and Alkenes
ChemCatChem, Accepted Article.Hydrosilylation reactions of alkenes and alkynes have been widely used to form compounds containing a silicon atom. Applied in intramolecular version, these processes enable the formation of silylated heterocycles, which are important building blocks in the synthesis of drugs, fragrances or materials.
Mathias Reboli, Muriel Durandetti
wiley +1 more source
Haematologica, 2023 The t(14;19)(q32;q13) often juxtaposes BCL3 with immunoglobulin heavy chain (IGH) resulting in overexpression of the gene. In contrast to other oncogenic translocations, BCL3 rearrangement (BCL3-R) has been associated with a broad spectrum of lymphoid ...
Anna Carbo-Meix +44 more
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