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Abstract: The domination properties of the Laplace operator on a class of symmetric spaces of noncompact type are investigated. Using algebraic methods we will show that derivatives of a function can be uniformly estimated by function and its Laplacian in L p spaces for all 1 p 1. We will also discuss some relative aspects of the theory of convolutions. 1991 Mathematics subject classification (Amer.Math.Soc): 58G30, 43A15, 53C35 1 Introduction In this paper we will investigate the question of the... (Update)
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BibTeX entry: (Update)
@misc{ ruzhansky-lp,
author = "Michael Ruzhansky",
title = "On L^p estimates for the Laplacian on a class of symmetric spaces of noncompact
type",
url = "citeseer.ist.psu.edu/194620.html" }
Citations (may not include all citations):75 Th'eorie des Distributions (context) - Schwartz - 1966
73 Abstract Harmonic Analysis (context) - Hewitt, Ross - 1963
14 Harmonic Analysis (context) - Stein - 1993
10 M'ethodes Math'ematiques pour les Sciences Physiques (context) - Schwartz - 1965
5 Pure and Applied Math (context) - Helgason, Geometric - 1984
5 Fundamental solutions of invariant differential operators on.. (context) - Helgason - 1964
4 Geometrische Methoden zur Gewinnung von a-priori-Schranken f.. (context) - Jost, Karcher - 1982
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