SU\G(𝔸)/K·U

Improved Range in the Return Times Theorem

Ciprian Demeter

Type: Article

Publication Date: 2011-06-14

Citations: 8

DOI: https://doi.org/10.4153/cmb-2011-116-2

Abstract

We prove that the Return Times Theorem holds true for pairs of $L^p-L^q$ functions, whenever $\frac{1}{p}+\frac{1}{q}

Locations

  • Canadian Mathematical Bulletin - View - PDF
  • arXiv (Cornell University) - View - PDF
  • DataCite API - View

Similar Works

Action Title Year Authors
+ $L$-functions 1998 Peter Sarnak
+ PDF Chat Extension of range of functions 1934 E. J. McShane
+ Regular functions 2011 Yves Crama
Peter L. Hammer
+ [Derailment of basic functions]. 1991 A J van Vught
+ Preinvex functions: some properties and comparisons 2009 Giorgio Giorgi
+ A property of the $\varphi $ and $\sigma _j$ functions 1975 Robert E. Dressler
+ On Read-Once Functions over $$\boldsymbol{\mathbb{Z}}_{\mathbf{3}}$$ 2021 A. D. Yashunsky
+ Read-once functions 2011 Martin Charles Golumbic
Vladimir Gurvich
+ L-Functions and Arithmetic 1991 Jennie Coates
Martin I. Taylor
+ PDF Chat A property of $C^{k,\alpha}$ functions 2023 Robert Dalmasso
+ PDF Chat A generalization of functions $\varphi(n)$ and $\pi(x)$ 1953 Vasilij Antonovič Golubev
+ Approximation by functions having restricted ranges: Equality case 1969 G. D. Taylor
+ On some results associated with $$_pR_q(\alpha ,\beta ;z)$$ function 2020 Ankit Pal
Ranjan Kumar Jana
A. K. Shukla
+ On the propagation of extendibility of CR functions 1996 Alexander Tumanov
+ Congruence Properties of Values of L-Functions and Applications 1999 Jan Hendrik Bruinier
Kevin James
Winfried Kohnen
Ken Ono
Christopher Skinner
Vinayak Vatsal
+ New formulae for function. 2005 Aleksandar Petojević
+ Type et cotype faibles des espaces $L_r(X)$ 1991 Martin Defant
Marius Junge
+ 7. L-Functions 2019 A. Raghuram
Günter Harder
+ Evaluation of functional relation formula for the Clausen and Glaisher functions and multiple L-values 2023 Yayoi Nakamura
Yoshitaka Sasaki
+ Functions with Vector Arguments 2018 Pramod S. Joag

Works That Cite This (8)

Action Title Year Authors
+ PDF Chat <i>L</i><sup><i>p</i></sup>estimates for the Hilbert transforms along a one-variable vector field 2013 Michael Bateman
Christoph Thiele
+ PDF Chat A Calderón Zygmund decomposition for multiple frequencies and an application to an extension of a Lemma of Bourgain 2010 Fëdor Nazarov
Richard Oberlin
Christoph Thiele
+ PDF Chat Estimates for Compositions of Maximal Operators with Singular Integrals 2012 Richard Oberlin
+ PDF Chat Bounds on the Walsh model for $M^{q,*}$ Carleson and related operators 2013 Richard Oberlin
+ On N\"orlund summation and Ergodic Theory, with applications to power series of Hilbert contractions 2017 Christophe Cuny
Michel Weber
+ Bounds on the Walsh model for M^{q,*} Carleson and related operators 2011 Richard Oberlin
+ On Nörlund summation and ergodic theory, with applications to power series of Hilbert contractions 2018 Christophe Cuny
Michel Weber
+ PDF Chat None 2013

Works Cited by This (19)

Action Title Year Authors
+ Lectures on ergodic theory 1956 Paul R. Halmos
+ On Calder\'on's conjecture 1999 Michael T. Lacey
Christoph Thiele
+ PDF Chat A proof of boundedness of the Carleson operator 2000 Michael T. Lacey
Christoph Thiele
+ PDF Chat On some maximal multipliers in $L^p$ 2010 Ciprian Demeter
+ The Bilinear Maximal Functions Map into L p for 2/3 &lt; p ≤ 1 2000 Michael T. Lacey
+ On Calderon's Conjecture 1999 Michael T. Lacey
Christoph Thiele
+ PDF Chat Uniform estimates on multi-linear operators with modulation symmetry 2002 Camil Muscalu
Terence Tao
Christoph Thiele
+ PDF Chat Pointwise ergodic theorems for arithmetic sets 1989 Jean Bourgain
+ PDF Chat On convergence and growth of partial sums of Fourier series 1966 Lennart Carleson
+ PDF Chat Breaking the duality in the return times theorem 2008 Ciprian Demeter
Michael T. Lacey
Terence Tao
Christoph Thiele