Results 31 to 40 of about 3,904 (117)
Quantitative Local Bounds for Subcritical Semilinear Elliptic Equations [PDF]
, 2012 The purpose of this paper is to prove local upper and lower bounds for weak solutions of semilinear elliptic equations of the form $-\Delta u= c u^p$, with ...
Bonforte, Matteo +2 more
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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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Parabolic BMO and global integrability of supersolutions to doubly nonlinear parabolic equations [PDF]
, 2015 We prove that local and global parabolic BMO spaces are equal thus extending the classical result of Reimann and Rychener. Moreover, we show that functions in parabolic BMO are exponentially integrable in a general class of space-time cylinders.
Saari, Olli
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Sobolev inequalities for the Hardy-Schr\"odinger operator: Extremals and critical dimensions [PDF]
, 2015 In this expository paper, we consider the Hardy-Schr\"odinger operator $-\Delta -\gamma/|x|^2$ on a smooth domain \Omega of R^n with 0\in\bar{\Omega}, and describe how the location of the singularity 0, be it in the interior of \Omega or on its boundary,
Ghoussoub, Nassif, Robert, Frédéric
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John-Nirenberg Type Inequalities for the Morrey-Campanato Spaces [PDF]
Journal of Inequalities and Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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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
wiley +1 more source
, 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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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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