Multilinear analysis on metric spaces
Web1 ian. 2014 · The multilinear Calderón-Zygmund theory is developed in the setting of RD-spaces which are spaces of homogeneous type equipped with measures satisfying a … Web22 iul. 2013 · In this paper we study the multilinear fractional integral operators, the multilinear Calderón-Zygmund operators and the multi-sublinear maximal operators defined on the quasi-metric space with non-doubling measure. We obtain the boundedness of these operators on the generalized Morrey spaces over the quasi-metric space of non …
Multilinear analysis on metric spaces
Did you know?
Web5 sept. 2024 · The concept of a metric space is an elementary yet powerful tool in analysis. And while it is not sufficient to describe every type of limit we can find in modern analysis, it gets us very far indeed. Definition: Metric Space Let be a set and let be a function such that [metric:pos] for all in , [metric:zero] if and only if , [metric:com] , Web1 iul. 2024 · Let (X j , d j , $μ$ j), j = 0, 1,. .. , m be metric measure spaces. Given 0 < p $κ$ $\\le$ $\\infty$ for $κ$ = 1,. .. , m and an analytic family of multilinear operators T z : L p 1 (X 1) x $\\bullet$ $\\bullet$ $\\bullet$ L p m (X m) $\\rightarrow$ L 1 loc (X 0), for z in the complex unit strip, we prove a theorem in the spirit of Stein's complex interpolation for …
Web1 nov. 2024 · Abstract: This note is a survey of Analysis on Metric spaces, in connection with the upcoming AMS Mathematics Research Communities program in June … WebIn this work we develop the theory of multilinear analysis related to the Calderón-Zygmund program within the framework of metric spaces. The …
Web19 iul. 2013 · Let $(X,d,\mu)$ be a metric measure space satisfying both thegeometrically doubling and the upper doubling measure conditions,which is called non-homogeneous … WebInterpolation for analytic families of multilinear operators on metric measure spaces Loukas Grafakos and El Maati Ouhabaz Abstract Let (Xj,dj,µj), j =0,1,...,m be metric …
Web23 sept. 2013 · In this paper, we give a natural definition of Morrey spaces associated with the nonhomogeneous spaces of Hytönen and investigate the boundedness of some classical operators including maximal operator, fractional integral operator and Marcinkiewicz integrals operator.
Web1 iul. 2024 · Interpolation for analytic families of multilinear operators on metric measure spaces. Loukas Grafakos, El Maati Ouhabaz (IMB) Let (X j , d j , j), j = 0, 1,. .. , m be … picard blagnac horairesWeb4 nov. 2016 · This innovation caused the tremendous development of harmonic analysis (see [1–8]).It is worthy to mention that this theory solves the Painlevé’s problem and Vitushkin’s conjectures (see [7, 9]).Hytönen [] introduced the non-homogeneous metric measure spaces \((X,d,\mu)\), which contains the homogeneous spaces and non … top 10 causes of death in 1900WebARCHITECTURE SIGHT (@architecturesight) on Instagram: "Some illustrations from “GRAPHIC GUIDE TO RESIDENTIAL SPACE PLANNING Ebook”. ..." ARCHITECTURE SIGHT on Instagram: "Some illustrations from “GRAPHIC GUIDE TO RESIDENTIAL SPACE PLANNING Ebook”. In architecture, there is … top 10 cat songsWebThe multilinear Calderón–Zygmund theory is developed in the setting of RD-spaces, namely, spaces of homogeneous type equipped with measures satisfying a … top 10 causes of house firesWeb1 nov. 2024 · Analysis on Metric Spaces Mario Bonk, Luca Capogna, Piotr Hajłasz, Nageswari Shanmugalingam, Jeremy T. Tyson This note is a survey of Analysis on Metric spaces, in connection with the upcoming AMS Mathematics Research Communities program in June 2024. Submission history From: Luca Capogna [ view email ] [v1] Fri, 1 … top 10 causes of death in singaporeWeb14 apr. 2024 · We extend the recently much-studied Hardy factorization theorems to the weight case. The key point of this paper is to establish the factorization theorems without … picard berlin handtascheWeb31 dec. 2024 · Abstract. Let (X, d, μ) denote nonhomogeneous metric measure space satisfying geometrically doubling and the upper doubling measure conditions. In this paper, the boundedness in Lebesgue spaces for two kinds of commutators, which are iterated commutators and commutators in summation form, generated by multilinear strongly … picard.be shop