Results 11 to 20 of about 4,196,105 (283)
LIPSCHITZ SPACES AND BOUNDED MEAN OSCILLATION OF HARMONIC MAPPINGS [PDF]
Bulletin of the Australian Mathematical Society, 2013 Abstract We first study the bounded mean oscillation of planar harmonic mappings. Then we establish a relationship between Lipschitz-type spaces and equivalent modulus of real harmonic mappings. Finally, we obtain sharp estimates on the Lipschitz number of planar harmonic mappings in terms of the bounded mean ...
Chen, Shaolin +3 more
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Some unsolved problems on meromorphic functions of uniformly bounded characteristic
International Journal of Mathematics and Mathematical Sciences, 1985 The family UBC(R) of meromorphic functions of uniformly bounded characteristic in a Rieman surface R is defined in terms of the Shimizu-Ahlfors characteristic function.
Shinji Yamashita
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Oscillatory and non-oscillatory solutions of dynamic equations with bounded coefficients [PDF]
Electronic Journal of Differential Equations, 2018 We analyze second-order half-linear dynamic equations on time scales. We prove oscillation and non-oscillation criteria which are sharp in the sense that the considered equations remain uncovered only for one setting of their coefficients.
Petr Hasil, Michal Vesely
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Mean oscillation bounds on rearrangements [PDF]
Transactions of the American Mathematical Society, 2022 We use geometric arguments to prove explicit bounds on the mean oscillation for two important rearrangements on R
Burchard, Almut +2 more
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The Helmholtz decomposition of a space of vector fields with bounded mean oscillation in a bounded domain [PDF]
, 2021 We introduce a space of vector fields with bounded mean oscillation whose "tangential"and "normal" components to the boundary behave differently. We establish its Helmholtz decomposition when the domain is bounded. This substantially extends the authors'
Gu, Zhongyang, Giga, Yoshikazu
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Bounded Point Derivations and Functions of Bounded Mean Oscillation [PDF]
Computational Methods and Function Theory, 2021 14 pages, 1 ...
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On functions of bounded β-dimensional mean oscillation
Advances in Calculus of Variations, 2023 Abstract In this paper, we define a notion of β-dimensional mean oscillation of functions u : Q
Chen, You-Wei, Spector, Daniel
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On the Space of Bounded Mean Oscillations
Journal of the Institute of Engineering, 2021 The space of bounded mean oscillations, abbreviated BMO, was first introduced by F. John and L. Nirenberg in 1961 in the context of partial differential equations. Later, C. Fefferman proved that the BMO is the dual space of well-known Hardy space, popularly known as H1 space and became the center of attraction for mathematicians.
Santosh Ghimire, Aarjan Kumar Sunar
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Normal trace for vector fields of bounded mean oscillation [PDF]
, 2020 We introduce various spaces of vector fields of bounded mean oscillation (BMO) defined in a domain so that normal trace on the boundary is bounded when its divergence is well controlled.
Gu, Zhongyang, Giga, Yoshikazu
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Some estimates for the commutators of multilinear maximal function on Morrey-type space
Open Mathematics, 2021 In this paper, we study the equivalent conditions for the boundedness of the commutators generated by the multilinear maximal function and the bounded mean oscillation (BMO) function on Morrey space.
Yu Xiao, Zhang Pu, Li Hongliang
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