Results 51 to 60 of about 4,638,257 (255)

BMO-Lorentz martingale spaces

open access: yesJournal of Inequalities and Applications, 2013
In this paper BMO-Lorentz martingale spaces are investigated. We give the characterization of BMO-Lorentz martingale spaces. Moreover, we discuss the relationship between the Carleson measure and BMO-Lorentz martingales. As a consequence, we find a new way to characterize the geometrical properties of a Banach space.
Xuming Yi   +2 more
openaire   +2 more sources

Parametric Marcinkiewicz Integral and Its Higher-Order Commutators on Variable Exponents Morrey-Herz Spaces

open access: yesJournal of Function Spaces, 2022
In this article, we prove the boundedness of the parametric Marcinkiewicz integral and its higher-order commutators generated by BMO spaces on the variable Morrey-Herz space. All the results are new even when α· is a constant.
Omer Abdalrhman Omer   +3 more
doaj   +1 more source

Some estimates for the commutators of multilinear maximal function on Morrey-type space

open access: yesOpen 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
doaj   +1 more source

Pointwise multipliers of weighted BMO spaces [PDF]

open access: yesProceedings of the American Mathematical Society, 1993
In a recent paper by S. Bloom (Pointwise multipliers of weighted B M O BMO spaces, Proc. Amer. Math. Soc. 105 (1989), 950-960), there are some inaccuracies. In this note, we give a counterexample to his "theorem" and a corrected form with proof under a suitable condition on weights.
openaire   +2 more sources

SOME EMBEDDINGS RELATED TO HOMOGENEOUS TRIEBEL–LIZORKIN SPACES AND THE BMO FUNCTIONS

open access: yesПроблемы анализа
As the homogeneous Triebel–Lizorkin space $\dot{F}_{p,q}^s$ and the space BMO are defined modulo polynomials and constants, respectively, we prove that BMO coincides with the realized space of $\dot{F}_{\infty, 2}^0$ and cannot be directly identified ...
B. Gheribi, M. Moussai
doaj   +1 more source

Well/ill-posedness for the dissipative Navier–Stokes system in generalized Carleson measure spaces

open access: yesAdvances in Nonlinear Analysis, 2017
As an essential extension of the well known case β∈(12,1]{\beta\kern-1.0pt\in\kern-1.0pt({\frac{1}{2}},1]} to the hyper-dissipative case β∈(1,∞){\beta\kern-1.0pt\in\kern-1.0pt(1,\infty)}, this paper establishes both well-posedness and ill-posedness (not ...
Wang Yuzhao, Xiao Jie
doaj   +1 more source

Global boundedness of a class of multilinear Fourier integral operators

open access: yesForum of Mathematics, Sigma, 2021
We establish the global regularity of multilinear Fourier integral operators that are associated to nonlinear wave equations on products of $L^p$ spaces by proving endpoint boundedness on suitable product spaces containing combinations of the local ...
Salvador Rodríguez-López   +2 more
doaj   +1 more source

Logarithmically Improved Regularity Criteria for a Fluid System with the Linear Soret Effect

open access: yesAbstract and Applied Analysis, 2012
We consider the 3D fluid system with the linear Soret effect. We obtain a logarithmically improved regularity criterion in the BMO space.
Minglei Zang, Xiaoyan Guan
doaj   +1 more source

On Hardy and BMO Spaces for Grushin Operator [PDF]

open access: yesJournal of Fourier Analysis and Applications, 2015
We study Hardy and BMO spaces associated with the Grushin operator. We first prove atomic and maximal functions characterizations of the Hardy space. Further we establish a version of Fefferman–Stein decomposition of BMO functions associated with the Grushin operator and then obtain a Riesz transforms characterization of the Hardy space.
Dziubański, Jacek, Jotsaroop, K.
openaire   +3 more sources

A Weighted Variant of Riemann-Liouville Fractional Integrals on ℝn

open access: yesAbstract and Applied Analysis, 2012
We introduce certain type of weighted variant of Riemann-Liouville fractional integral on ℝn and obtain its sharp bounds on the central Morrey and λ-central BMO spaces.
Zun Wei Fu, Shan Zhen Lu, Wen Yuan
doaj   +1 more source

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