Results 11 to 20 of about 3,650 (244)
Journal of Function Spaces, 2022 In this paper, we establish the boundedness of the modified fractional integral operator from mixed Morrey spaces to the bounded mean oscillation space and Lipschitz spaces, respectively.
Mingquan Wei, Lanyin Sun
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On the Dirichlet problem for de ge nerate Beltrami equations
Доповiдi Нацiональної академiї наук України, 2023 We study the Dirichlet problem as with continuous boundary data in arbitrary simply connected bounded domains D of the complex plane where f satisfies the degenerate Beltrami equation a. e. in D.
V.Ya. Gutlyanskiĭ +3 more
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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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Weighted bounded mean oscillation and the Hilbert transform [PDF]
Studia Mathematica, 1976 Benjamin Muckenhoupt, Richard L Wheeden
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WEIGHTED VARIABLE HARDY SPACES ASSOCIATED WITH OPERATORS SATISFYING DAVIES-GAFFNEY ESTIMATES
Проблемы анализа, 2022 We introduce the weighted variable Hardy space 𝐻(^𝑝(·) _𝐿,𝑤) (ℝ^𝑛) associated with the operator 𝐿, which has a bounded holomorphic functional calculus and fulfills the Davies-Gaffney estimates. More precisely, we establish the molecular characterization
B. Laadjal +3 more
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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.
Aarjan Kumar Sunar, Santosh Ghimire
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An improvement to the John-Nirenberg inequality for functions in critical Sobolev spaces
Advances in Nonlinear Analysis, 2020 It is known that functions in a Sobolev space with critical exponent embed into the space of functions of bounded mean oscillation, and therefore satisfy the John-Nirenberg inequality and a corresponding exponential integrability estimate.
Martínez Ángel D., Spector Daniel
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On the Dirichlet problem for A-harmonic functions
Доповiдi Нацiональної академiї наук України, 2023 We study the Dirichlet boundary value problem with continuous boundary data for the A-harmonic equations div[A grad u] = 0 in an arbitrary bounded domain D of the complex plane £ with no boundary component degenerated to a single point.
V.Ya. Gutlyanskiĭ +3 more
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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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On the John–Nirenberg inequality
Journal of Inequalities and Applications, 2020 We present a version of the John–Nirenberg inequality for a sub-class of BMO by estimating the corresponding mean oscillating distribution function via dyadic decomposition.
Hee Chul Pak
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