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  1. Acta Mathematica Sinica, English Series
  2. Acta Mathematica Sinica, English Series : Volume 31
  3. Acta Mathematica Sinica, English Series : Volume 31, Issue 11, November 2015
  4. Hausdorff operators on the Heisenberg group
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Acta Mathematica Sinica, English Series : Volume 32
Acta Mathematica Sinica, English Series : Volume 31
Acta Mathematica Sinica, English Series : Volume 31, Issue 12, December 2015
Acta Mathematica Sinica, English Series : Volume 31, Issue 11, November 2015
The classification of 2 and 3 torsion free polyhedra
Nonsolvable D 2-groups
Hausdorff operators on the Heisenberg group
Common properties of the operator products in local spectral theory
Homoclinic orbits for first order Hamiltonian systems with some twist conditions
A characterization of almost simple K 3-groups
Blaschke isoparametric hypersurfaces in the conformal space ℚ 1 n+1 , I
Fractional square functions and potential spaces, II
The generalized L p -mixed affine surface area
A class of normal weighted composition operators on the Fock space of ℂ n
On gradient solitons of the Ricci–Harmonic flow
On the number of limit cycles of a Z 4-equivariant quintic near-Hamiltonian system
Acta Mathematica Sinica, English Series : Volume 31, Issue 10, October 2015
Acta Mathematica Sinica, English Series : Volume 31, Issue 9, September 2015
Acta Mathematica Sinica, English Series : Volume 31, Issue 8, August 2015
Acta Mathematica Sinica, English Series : Volume 31, Issue 7, July 2015
Acta Mathematica Sinica, English Series : Volume 31, Issue 6, June 2015
Acta Mathematica Sinica, English Series : Volume 31, Issue 5, May 2015
Acta Mathematica Sinica, English Series : Volume 31, Issue 4, April 2015
Acta Mathematica Sinica, English Series : Volume 31, Issue 3, March 2015
Acta Mathematica Sinica, English Series : Volume 31, Issue 2, February 2015
Acta Mathematica Sinica, English Series : Volume 31, Issue 1, January 2015
Acta Mathematica Sinica, English Series : Volume 30
Acta Mathematica Sinica, English Series : Volume 29
Acta Mathematica Sinica, English Series : Volume 28
Acta Mathematica Sinica, English Series : Volume 27
Acta Mathematica Sinica, English Series : Volume 26
Acta Mathematica Sinica, English Series : Volume 25
Acta Mathematica Sinica, English Series : Volume 24
Acta Mathematica Sinica, English Series : Volume 23
Acta Mathematica Sinica, English Series : Volume 22
Acta Mathematica Sinica, English Series : Volume 21
Acta Mathematica Sinica, English Series : Volume 20
Acta Mathematica Sinica, English Series : Volume 19
Acta Mathematica Sinica, English Series : Volume 18
Acta Mathematica Sinica, English Series : Volume 17
Acta Mathematica Sinica, English Series : Volume 16
Acta Mathematica Sinica, English Series : Volume 15
Acta Mathematica Sinica, English Series : Volume 14
Acta Mathematica Sinica, English Series : Volume 13

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Hausdorff operators on the Heisenberg group

Content Provider SpringerLink
Author Guo, Jiu Hua Sun, Li Jing Zhao, Fa You
Copyright Year 2015
Abstract This paper is devoted to the high-dimensional and multilinear Hausdorff operators on the Heisenberg group H n . The sharp bounds for the strong type (p, p) (1 ≤ p ≤ ∞) estimates of n-dimensional Hausdorff operators on H n are obtained. The sharp bounds for strong (p, p) estimates are further extended to multilinear cases. As an application, we derive the sharp constant for the multilinear Hardy operator on H n . The weak type (p, p) (1 ≤ p≤∞) estimates are also obtained. Keywords Hausdorff operator, Heisenberg group, multilinear, sharp estimate
Ending Page 1714
Page Count 12
Starting Page 1703
File Format PDF
ISSN 14398516
e-ISSN 14397617
Journal Acta Mathematica Sinica, English Series
Issue Number 11
Volume Number 31
Language English
Publisher Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Publisher Date 2015-10-15
Publisher Place Beijing
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Heisenberg group multilinear Integral operators Inequalities for sums, series and integrals Multilinear and polynomial operators Mathematics Norms (inequalities, more than one norm, etc.) Hausdorff operator sharp estimate
Content Type Text
Resource Type Article
Subject Applied Mathematics
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