On positive Rockland operators

Type: Article

Publication Date: 1994-01-01

Citations: 15

DOI: https://doi.org/10.4064/cm-67-2-197-216

Abstract

Let G be a homogeneous Lie group with a left Haar measure dg and L the action of G as left translations on $L_p(G;dg)$. Further, let H = dL(C) denote a homogeneous operator associated with L. If H is positive and hypoelliptic on $L_2$ we prove that it is

Locations

  • Colloquium Mathematicum - View - PDF

Similar Works

Action Title Year Authors
+ ON POSITIVE ROCKLAND OPERATORS 2007 Colloqu Ium
Mathemat Icum
Elst
+ On positive Rockland operators 1993 Pascal Auscher
ter Afm Tom Elst
Derek Dw Robinson
+ PDF Chat Note on semigroups generated by positive Rockland operators on graded homogeneous groups 1994 Jacek Dziubański
Waldemar Hebisch
Jacek Zienkiewicz
+ On partially hypoelliptic operators 1963 Minoru Yamamoto
+ On subinvariant measures for positive operators in L1 1993 Antoine Brunel
S. Horowitz
Michael Lin
+ On positive linear operators and hypercomplex systems 1970 I. A. Bahtin
+ PDF Chat $L^p$-boundedness of Riesz transforms on solvable extensions of Carnot groups 2024 Alessio Martini
Paweł Plewa
+ On positive functions in Haar spaces 1979 Chris Coray
E. R. Heal
+ Positive Hankel Operators of Schatten p-classes 2017 이기원
+ On Positive Contractions In L p -Spaces 1980 H. H. Schaefer
+ On a class of maximally hypoelliptic operators 1995 Yu. V. Egorov
Nguyen Min
+ On positive linear operators 2019 Farzaneh Jannat
+ PDF Chat On isometric domains of positive operators on $L^p$-spaces 1987 Ryszard Grząślewicz
+ PDF Chat On summability and positive linear operators 1979 J. J. Swetits
+ Maximal Hypoellipticity for Left-Invariant Differential Operators on Lie Groups 2018 Tommaso Bruno
+ Maximal Hypoellipticity for Left-Invariant Differential Operators on Lie Groups 2018 Tommaso Bruno
+ PDF Chat Multipliers on Compact Groups 1971 Charles F. Dunkl
Donald E. Ramirez
+ PDF Chat A functional calculus for Rockland operators on nilpotent Lie groups 1984 Andrzej Hulanicki
+ On spectra of operators on locally convex spaces 1996 黄绍文
唐春雷
+ On positive operators 1984 Dorothy Maharam