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Riesz Transforms on a Discrete Group of Polynomial Growth
Author(s) -
Dungey Nick
Publication year - 2004
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609304003443
Subject(s) - mathematics , polynomial , group (periodic table) , order (exchange) , mathematics subject classification , pure mathematics , finitely generated abelian group , finitely generated group , discrete group , discrete mathematics , mathematical analysis , chemistry , organic chemistry , finance , economics
Let G be a finitely generated, discrete group of polynomial growth. This paper provides a proof of the boundedness in L p ( G ), 1 < p < ∞, of some higher‐order Riesz transform operators associated with a probability density on G . 2000 Mathematics Subject Classification 60B15, 43A15.