Results 1 to 10 of about 3,650 (244)

FUNCTIONS OF BOUNDED MEAN OSCILLATION [PDF]

Taiwanese Journal of Mathematics, 2006
$BMO$, the space of functions of bounded mean oscillation, was first introduced by F. John and L. Nirenberg in 1961. It became a focus of attention when C. Fefferman proved that $BMO$ is the dual of the (real) Hardy space $H^1$ in 1971. In the past 30 years, this space was studied extensively by many mathematicians.
Der-Chen Chang, Cora Sadosky
exaly   +4 more sources

Characterization of p-Adic Mixed λ-Central Bounded Mean Oscillation Space via Commutators of p-Adic Hardy-Type Operators

Journal of Function Spaces
In this note, we define p-adic mixed Lebesgue space and mixed λ-central Morrey-type spaces and characterize p-adic mixed λ-central bounded mean oscillation space via the boundedness of commutators of p-adic Hardy-type operators on p-adic mixed Lebesgue ...
Naqash Sarfraz, Muhammad Bilal Riaz, Sajid Mehmood, Mir Zaman   +3 more
doaj   +2 more sources

Golden ratio organization in human EEG is associated with theta-alpha frequency convergence: a multi-dataset validation study [PDF]

Frontiers in Human Neuroscience
BackgroundThe golden ratio (ϕ ≈ 1. 618) has been proposed as an organizing principle for EEG frequency bands, potentially minimizing spurious cross-frequency synchronization.
Andrei Ursachi
doaj   +2 more sources

Bounded mean oscillation of Bloch pull-backs

Mathematische Annalen, 1991
Given a holomorphic map F: \(B_ n\to D\), where \(B_ n\) denotes the open unit ball in \({\mathbb{C}}^ n\) and D denotes the open unit disk in \({\mathbb{C}}\), we say that F has the pull-back property if \(f\circ F\in BMOA(B_ n)\) whenever f belongs to the Bloch space of D. Ahern and Budin posed the problem of characterizing the maps F having the pull-
Wade Ramey
exaly   +3 more sources

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, Dafni, Galia, Gibara, Ryan   +2 more
openaire   +2 more sources

Fractional Gagliardo–Nirenberg interpolation inequality and bounded mean oscillation

Comptes Rendus. Mathématique, 2023
We prove Gagliardo–Nirenberg interpolation inequalities estimating the Sobolev semi-norm in terms of the bounded mean oscillation semi-norm and of a Sobolev semi-norm, with some of the Sobolev semi-norms having fractional order.
Van Schaftingen, Jean
doaj   +1 more source

Fractional operators and their commutators on generalized Orlicz spaces [PDF]

Opuscula Mathematica, 2022
In this paper we examine boundedness of fractional maximal operator. The main focus is on commutators and maximal commutators on generalized Orlicz spaces (also known as Musielak-Orlicz spaces) for fractional maximal functions and Riesz potentials.
Arttu Karppinen
doaj   +1 more source

Hydrodynamic normalization conditions in the theory of degenerate Beltrami equations

Доповiдi Нацiональної академiї наук України, 2023
We study the existence of normalized homeomorphic solutions for the degenerate Beltrami equation fz = μ(z )f  in the whole complex plane C , assuming that its measurable coefficient μ(z ), | μ(z ) |
V.Ya. Gutlyanskiĭ, V.I. Ryazanov, E.A. Sevost’yanov, E. Yakubov   +3 more
doaj   +1 more source

Variable λ-Central Morrey Space Estimates for the Fractional Hardy Operators and Commutators

Journal of Mathematics, 2022
This paper aims to show that the fractional Hardy operator and its adjoint operator are bounded on central Morrey space with variable exponent. Similar results for their commutators are obtained when the symbol functions belong to λ-central bounded mean ...
Amjad Hussain, Muhammad Asim, Fahd Jarad
doaj   +1 more source

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
openaire   +2 more sources