Results 81 to 90 of about 389 (184)

Atomic, molecular and wavelet decomposition of generalized 2-microlocal Besov spaces

open access: yesJournal of Function Spaces and Applications, 2010
We introduce generalized 2-microlocal Besov spaces and give characterizations in decomposition spaces by atoms, molecules and wavelets. We apply the wavelet decomposition to prove that the 2-microlocal spaces are invariant under the action of ...
Henning Kempka
doaj   +1 more source

Besov-Morrey spaces associated with Hermite operators and applications to fractional Hermite equations

open access: yesElectronic Journal of Differential Equations, 2018
The purpose of this article is to establish the molecular decomposition of the homogeneous Besov-Morrey spaces associated with the Hermite operator $\mathbb{H} = -\Delta+|x|^2$ on the Euclidean space $\mathbb{R}^n$.
Nguyen Anh Dao   +2 more
doaj  

Wavelets on fractals and besov spaces

open access: yesThe Journal of Fourier Analysis and Applications, 1998
The author develops the theory of wavelets on self-similar fractals \(K\) which preserves a certain standard inequality (Markov's inequality). This property is equivalent to the statement that for all balls \(B\) centered at a point in \(K\), and all polynomials \(P\) of degree at most \(m\), one has \[ \sup_{x \in B} | P(x)| \leq C_m \sup_{x \in B ...
openaire   +2 more sources

Well-posedness of degenerate integro-differential equations in function spaces

open access: yesElectronic Journal of Differential Equations, 2018
We use operator-valued Fourier multipliers to obtain characterizations for well-posedness of a large class of degenerate integro-differential equations of second order in time in Banach spaces.
Rafael Aparicio, Valentin Keyantuo
doaj  

Average Widths and Optimal Recovery of Multivariate Besov Classes in Orlicz Spaces

open access: yesMathematics
In this paper, we study the average Kolmogorov σ–widths and the average linear σ–widths of multivariate isotropic and anisotropic Besov classes in Orlicz spaces and give the weak asymptotic estimates of these two widths.
Xinxin Li, Garidi Wu
doaj   +1 more source

Symmetric Besov-Bessel Spaces

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
In this paper we introduce the symmetric Besov-Bessel spaces. Next, we give a Sonine formula for generalized Bessel functions. Finally, we give a characterization of these spaces using the Bochner-Riesz means.
Houissa Khadija, Sifi Mohamed
doaj   +1 more source

Global existence and uniqueness of mild solution for a fractional Keller-Segel system in Besov-Morrey spaces

open access: yesMathematical Modelling and Analysis
This paper investigates the fractional Keller-Segel system involving both temporal and spatial variables. We examine fractional dissipation mechanisms for the physical variables, including chemotactic diffusion with fractional dissipation, and ...
Hassan Khaider   +2 more
doaj   +1 more source

Characterizations of Bloch space and Besov spaces by oscillations

open access: yesHokkaido Mathematical Journal, 2000
Some new oscillation characteristics of analytic Bloch and Besov spaces in the disk are given. The results extend and generalize the earlier work by \textit{K. Zhu}, see p. 328 in [J. Math. Anal. Appl. 157, No. 2, 318-336 (1991; Zbl 0733.30026)].
openaire   +4 more sources

Hopf Bifurcations of Moore-Greitzer PDE Model with Additive Noise. [PDF]

open access: yesJ Nonlinear Sci, 2023
Meng Y, Namachchivaya NS, Perkowski N.
europepmc   +1 more source

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