Results 21 to 30 of about 940,591 (161)
Journal of Inequalities and Applications, 2019 Our goal is to obtain the John–Nirenberg inequality for ball Banach function spaces X, provided that the Hardy–Littlewood maximal operator M is bounded on the associate space X′ $X'$ by using the extrapolation.
Mitsuo Izuki +2 more
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BMO Functions Generated by AXℝn Weights on Ball Banach Function Spaces
Journal of Function Spaces, 2021 Let X be a ball Banach function space on ℝn. We introduce the class of weights AXℝn. Assuming that the Hardy-Littlewood maximal function M is bounded on X and X′, we obtain that BMOℝn=αlnω:α≥0,ω∈AXℝn.
Ruimin Wu, Songbai Wang
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Results in Applied MathematicsThis paper proves the weak type estimates of the Hardy–Littlewood maximal operator on local Morrey spaces associated with ball quasi-Banach function spaces.
HanLin Li, Jiang Zhou
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Journal of Function Spaces, 2016 The authors establish the two-weight norm inequalities for the one-sided Hardy-Littlewood maximal operators in variable Lebesgue spaces. As application, they obtain the two-weight norm inequalities of variable Riemann-Liouville operator and variable Weyl
Caiyin Niu, Zongguang Liu, Panwang Wang
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Norm Comparison Estimates for the Composite Operator
Journal of Function Spaces, 2014 This paper obtains the Lipschitz and BMO norm estimates for the composite operator 𝕄s∘P applied to differential forms. Here, 𝕄s is the Hardy-Littlewood maximal operator, and P is the potential operator.
Xuexin Li, Yong Wang, Yuming Xing
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Self‐improving property for certain degenerate functionals with generalized Orlicz growth
Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.Abstract We investigate a self‐improving property of variational integrals in a weighted framework under generalized Orlicz growth conditions. Assuming that the weight belongs to an appropriate Muckenhoupt class and the growth function satisfies standard structural conditions, we prove that the gradient of any local quasi‐minimizer has local higher ...
Vertti Hietanen, Mikyoung Lee
wiley +1 more source
Sparse domination for the lattice Hardy–Littlewood maximal operator [PDF]
, 2018 We study the domination of the lattice Hardy–Littlewood maximal operator by sparse operators in the setting of general Banach lattices. We prove that the admissible exponents of the dominating sparse operator are determined by the q-convexity of the ...
Hänninen, Timo S. +5 more
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The Riesz “rising sun” lemma for arbitrary Borel measures with some applications
Journal of Function Spaces and Applications, 2007 The Riesz “rising sun” lemma is proved for arbitrary locally finite Borel measures on the real line. The result is applied to study an attainability problem of the exact constant in a weak (1,1) type inequality for the corresponding Hardy-Littlewood ...
Lasha Ephremidze +2 more
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Mizohata–Takeuchi inequalities for orthonormal systems
Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.Abstract We establish some weighted L2$L^2$ inequalities for Fourier extension operators in the setting of orthonormal systems. In the process, we develop a direct approach to such inequalities based on generalized Wigner distributions, complementing the Schatten space approach that is prevalent in the wider context of estimates for such orthonormal ...
Jonathan Bennett +4 more
wiley +1 more source
A sufficient condition for the boundedness of operator-weighted martingale transforms and Hilbert transform [PDF]
, 2007 Let W be an operator weight taking values almost everywhere in the bounded positive invertible linear operators on a separable Hilbert space H. We show that if W and its inverse W−1 both satisfy a matrix reverse Holder property introduced in [2], then ...
Pott, S.
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