Results 21 to 30 of about 70,211 (258)

On functions of bounded β-dimensional mean oscillation

open access: yesAdvances 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
openaire   +2 more sources

Commutators of Hardy-Littlewood operators on p-adic function spaces with variable exponents

open access: yesOpen Mathematics, 2023
In this article, we obtain some sufficient conditions for the boundedness of commutators of pp-adic Hardy-Littlewood operators with symbols in central bounded mean oscillation space and Lipschitz space on the pp-adic function spaces with variable ...
Dung Kieu Huu, Thuy Pham Thi Kim
doaj   +1 more source

Carleson measure and balayage [PDF]

open access: yes, 2009
The balayage of a Carleson measure lies of course in the space of functions of bounded mean oscillation (BMO). We show that the converse statement is false. We also make a two-sided estimate of the Carleson norm of a positive measure in terms of <i>
Pott, Sandra, Volberg, Alexander
core   +2 more sources

Interpolation inequalities between Sobolev and Morrey-Campanato spaces: A common gateway to concentration-compactness and Gagliardo-Nirenberg interpolation inequalities [PDF]

open access: yes, 2013
We prove interpolation estimates between Morrey-Campanato spaces and Sobolev spaces. These estimates give in particular concentration-compactness inequalities in the translation-invariant and in the translation- and dilation-invariant case.
Van Schaftingen, Jean
core   +2 more sources

Characterizations of Bounded Mean Oscillation [PDF]

open access: yesProceedings of the American Mathematical Society, 1975
Recall that an integrable function f f on a cube Q 0 {Q_0} in R n {{\mathbf {R}}^n} is said to be of bounded mean oscillation if there is a constant K K such that for
openaire   +2 more sources

On the equivalence between weak BMO and the space of derivatives of the Zygmund class

open access: yesDemonstratio Mathematica, 2021
In this paper, we will discuss the space of functions of weak bounded mean oscillation. In particular, we will show that this space is the dual space of the special atom space, whose dual space was already known to be the space of derivative of functions
Kwessi Eddy
doaj   +1 more source

The John–Nirenberg inequality in ball Banach function spaces and application to characterization of BMO

open access: yesJournal of Inequalities and Applications, 2019
Our goal is to obtain the John–Nirenberg inequality for ball Banach function spaces X, provided that the Hardy–Littlewood maximal operator M is bounded on the associate space X′ $X'$ by using the extrapolation.
Mitsuo Izuki   +2 more
doaj   +1 more source

A conditional regularity result for p-harmonic flows [PDF]

open access: yes, 2015
We prove an $\varepsilon$-regularity result for a wide class of parabolic systems $$ u_t-\text{div}\big(|\nabla u|^{p-2}\nabla u) = B(u, \nabla u) $$ with the right hand side $B$ growing like $|\nabla u|^p$.
Katarzyna Ewa Mazowiecka   +4 more
core   +2 more sources

Random series and bounded mean oscillation. [PDF]

open access: yesMichigan Mathematical Journal, 1985
It has long been known that if \(\sum | a_ n ...
openaire   +2 more sources

Stability and boundedness of regular solutions for a Sisko flow in an infinite annular porous space

open access: yesResults in Physics, 2023
The present article is intended to study the boundedness of solutions for an unsteady non-Newtonian flow, whose strain–stress relationship is provided by the Sisko fluid model.
José Luis Díaz Palencia   +3 more
doaj   +1 more source

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