The reverse Hölder inequality for power means

2012 ◽  
Vol 183 (6) ◽  
pp. 762-771
Author(s):  
Viktor D. Didenko ◽  
Anatolii A. Korenovskyi
Keyword(s):  
Hölder Inequality ◽  
Reverse Hölder Inequality ◽  
Power Means ◽  
Reverse Hölder

scholarly journals Torsional rigidity on compact Riemannian manifolds with lower Ricci curvature bounds

2015 ◽  
Vol 13 (1) ◽  
Author(s):  
Najoua Gamara ◽  
Abdelhalim Hasnaoui ◽  
Akrem Makni
Keyword(s):  
Riemannian Manifold ◽  
Dirichlet Problem ◽  
Ricci Curvature ◽  
Riemannian Manifolds ◽  
Compact Riemannian Manifold ◽  
Torsional Rigidity ◽  
Hölder Inequality ◽  
Reverse Hölder Inequality ◽  
Curvature Bounds ◽  
Reverse Hölder

AbstractIn this article we prove a reverse Hölder inequality for the fundamental eigenfunction of the Dirichlet problem on domains of a compact Riemannian manifold with lower Ricci curvature bounds. We also prove an isoperimetric inequality for the torsional ridigity of such domains

scholarly journals Zeros for the Gradients of WeaklyA-Harmonic Tensors

2014 ◽  
Vol 2014 ◽  
pp. 1-5
Author(s):  
Yuxia Tong ◽  
Jiantao Gu ◽  
Shenzhou Zheng
Keyword(s):  
Regularity Property ◽  
Hölder Inequality ◽  
Reverse Hölder Inequality ◽  
Caccioppoli Inequality ◽  
Reverse Hölder ◽  
Weak Reverse Hölder Inequality ◽  
Weak Reverse Holder Inequality

The Caccioppoli inequality of weaklyA-harmonic tensors has been proved, which can be used to consider the weak reverse Hölder inequality, regularity property, and zeros of weaklyA-harmonic tensors.

scholarly journals End Point Estimate of Littlewood-Paley Operator Associated to the Generalized Schrödinger Operator

2021 ◽  
Vol 2021 ◽  
pp. 1-8
Author(s):  
Yanping Chen ◽  
Wenyu Tao
Keyword(s):  
Schrödinger Operator ◽  
Radon Measure ◽  
Hölder Inequality ◽  
Point Estimate ◽  
Schrodinger Operator ◽  
Reverse Hölder Inequality ◽  
Scale Invariant ◽  
End Point ◽  
Reverse Hölder ◽  
Generalized Schrödinger Operator

Let L = − Δ + μ be the generalized Schrödinger operator on ℝ d , d ≥ 3 , where μ ≠ 0 is a nonnegative Radon measure satisfying certain scale-invariant Kato conditions and doubling conditions. In this work, we give a new BMO space associated to the generalized Schrödinger operator L , BM O θ , L , which is bigger than the BMO spaces related to the classical Schrödinger operators A = − Δ + V , with V a potential satisfying a reverse Hölder inequality introduced by Dziubański et al. in 2005. Besides, the boundedness of the Littlewood-Paley operators associated to L in BM O θ , L also be proved.

SOME REVERSE DYNAMIC INEQUALITIES ON TIME SCALES

2017 ◽  
Vol 96 (3) ◽  
pp. 445-454 ◽  
Author(s):  
R. P. AGARWAL ◽  
R. R. MAHMOUD ◽  
D. O’REGAN ◽  
S. H. SAKER
Keyword(s):  
Time Scales ◽  
Hölder Inequality ◽  
Chain Rule ◽  
Fubini Theorem ◽  
Reverse Hölder Inequality ◽  
Reverse Hölder

In this paper, we prove some new reverse dynamic inequalities of Renaud- and Bennett-type on time scales. The results are established using the time scales Fubini theorem, the reverse Hölder inequality and a time scales chain rule.

Weighted Boundedness of Commutators of Riesz Transforms Associated with Schrödinger Operator

2012 ◽  
Vol 256-259 ◽  
pp. 2939-2942
Author(s):  
Wen Hua Gao ◽  
Wei Zhou
Keyword(s):  
Schrödinger Operator ◽  
Lipschitz Function ◽  
Hölder Inequality ◽  
Riesz Transforms ◽  
Schrodinger Operator ◽  
Reverse Hölder Inequality ◽  
Lebesgue Integral ◽  
Weighted Function ◽  
Weighted Lipschitz Function ◽  
Reverse Hölder

In this paper, the Schrödinger operator on n dimensions Euclid space with the non-zero, nonnegative potential function satisfying the reverse Hölder inequality is considered. The weighted boundedness of the commutators composed of several Riesz transforms associated with the Schrödinger operator and weighted Lipschitz function on weighted Lebesgue integral spaces are obtained, for some weighted function.

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