On a vector-valued Hopf-Dunford-Schwartz lemma

DOI10.1007/S11117-012-0211-7zbMath1288.47010arXiv1202.5838OpenAlexW2076014089WikidataQ125041605 ScholiaQ125041605MaRDI QIDQ369629

Stéphane Charpentier, Luc Deleaval

Publication date: 19 September 2013

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.5838

zbMATH Keywords

semigroupDunkl analysismaximal ergodic theorem

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) One-parameter semigroups and linear evolution equations (47D06) Ergodic theory of linear operators (47A35)

Related Items (2)

A note on the behavior of the Dunkl maximal operator ⋮ Vector valued \(q\)-variation for ergodic averages and analytic semigroups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Pointwise convergence for semigroups in vector-valued \(L^{p}\) spaces
• Fefferman-Stein inequalities for the \(\mathbb Z^d_2\) Dunkl maximal operator
• Ergodic theorems. With a supplement by Antoine Brunel
• Vector valued ergodic theorems for operators satisfying norm conditions
• Weak type \(L^ 1\) estimates for maximal functions on non-compact symmetric spaces
• Generalized Hermite polynomials and the heat equation for Dunkl operators
• The Dunkl transform
• Convolution operator and maximal function for the Dunkl transform
• Two results on the Dunkl maximal operator
• Factorization Theory and A P Weights
• Another proof of E. Hopf's ergodic lemma
• Transference of Strong Type Maximal Inequalities by Separation-Preserving Representations
• Classical Fourier Analysis
• Differential-Difference Operators Associated to Reflection Groups
• On the ergodic theorem without assumption of positivity
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
• Some Maximal Inequalities

This page was built for publication: On a vector-valued Hopf-Dunford-Schwartz lemma