Results 31 to 40 of about 3,089 (88)
BMO spaces for nondoubling metric measure spaces [PDF]
, 2019 In this article we study the family of $BMO^p$ spaces, $p \geq 1$, in the general context of metric measure spaces. We give a characterization theorem that allows to describe all possible relations between these spaces considered as sets of functions ...
Kosz, Dariusz
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The John–Nirenberg type inequality for non-doubling measures [PDF]
Studia Mathematica, 2007 X. Tolsa defined a space of BMO type for positive Radon measures satisfy- ing some growth condition on R d . This new BMO space is very suitable for the Calderon- Zygmund theory with non-doubling measures. Especially, the John-Nirenberg type in- equality can be recovered.
Yoshihiro Sawano, Hitoshi Tanaka
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A Characterization of Central BMO Space via the Commutator of Fractional Hardy Operator
Journal of Function Spaces, Volume 2020, Issue 1, 2020., 2020 This paper is devoted in characterizing the central BMO (ℝn) space via the commutator of the fractional Hardy operator with rough kernel. Precisely, by a more explicit decomposition of the operator and the kernel function, we will show that if the symbol function belongs to the central BMO (ℝn) space, then the commutator are bounded on Lebesgue space ...
Lei Zhang, Shaoguang Shi, Lishan Liu
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Martingale Hardy spaces with variable exponents
, 2016 In this paper, we introduce Hardy spaces with variable exponents defined on a probability space and develop the martingale theory of variable Hardy spaces.
Chen, Wei +3 more
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, 2015 We extend to n-dimensions a characterization of the Marcinkiewicz $L(p,\infty)$ spaces first obtained by Garsia-Rodemich in the one dimensional case. This leads to a new proof of the John-Nirenberg self-improving inequalities.
Milman, Mario
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The Capacitary John–Nirenberg Inequality Revisited
Advances in Calculus of VariationsAbstract In this paper, we establish maximal function estimates, Lebesgue differentiation theory, Calderón–Zygmund decompositions, and John–Nirenberg inequalities for translation invariant Hausdorff contents. We further identify a key structural component of these results – a packing condition satisfied by these Hausdorff contents ...
Riju Basak +3 more
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John-Nirenberg lemmas for a doubling measure
, 2010 We study, in the context of doubling metric measure spaces, a class of BMO type functions defined by John and Nirenberg. In particular, we present a new version of the Calderon-Zygmund decomposition in metric spaces and use it to prove the corresponding ...
Aalto, Daniel +3 more
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Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this paper, we find sufficient conditions on functions ω1, ω2 which ensure the boundedness of Riesz potentials and their commutators with BMO functions from one local complementary generalized Orlicz–Morrey spaces M ∁Φ,ω1x0ℝn to the spaces M ∁Ψ,ω2x0ℝn. As a consequence of the boundedness of the Riesz potential, we give the boundedness the fractional
Canay Aykol +3 more
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Oscillation estimates, self-improving results and good-$\lambda$ inequalities
, 2015 Our main result is an abstract good-$\lambda$ inequality that allows us to consider three self-improving properties related to oscillation estimates in a very general context.
Berkovits, Lauri +2 more
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Analytic mappings of the unit disk which almost preserve hyperbolic area
Proceedings of the London Mathematical Society, Volume 129, Issue 5, November 2024.Abstract In this paper, we study analytic self‐maps of the unit disk which distort hyperbolic areas of large hyperbolic disks by a bounded amount. We give a number of characterizations involving angular derivatives, Lipschitz extensions, Möbius distortion, the distribution of critical points and Aleksandrov–Clark measures.
Oleg Ivrii, Artur Nicolau
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