Results 81 to 90 of about 397 (184)

New Herz Type Besov and Triebel-Lizorkin Spaces with Variable Exponents

Journal of Function Spaces and Applications, 2012
The authors establish the boundedness of vector-valued Hardy-Littlewood maximal operator in Herz spaces with variable exponents. Then new Herz type Besov and Triebel-Lizorkin spaces with variable exponents are introduced.
Baohua Dong, Jingshi Xu
doaj   +1 more source

Wavelets on fractals and besov spaces

The 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

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

Electronic 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, Nguyen Ngoc Trong, Le Xuan Truong   +2 more
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Symmetric Besov-Bessel Spaces

Analele 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

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

Electronic 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

Mathematics
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

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

Mathematical 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, Mohamed El Ouaarabi, Abderrahmane Raji   +2 more
doaj   +1 more source

Characterizations of Bloch space and Besov spaces by oscillations

Hokkaido 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

Tensor products of abstract Besov spaces

Karpatsʹkì Matematičnì Publìkacìï, 2012
We prove the interpolation theorem for tensor products of abstract Besov spaces, associated with closed operators in Banach spaces and show its application to the problems of approximations of elements of tensor products of Banach spaces.
Dmytryshyn M.I.
doaj  

The Asymptotic Properties of Turbulent Solutions to the Navier-Stokes Equations

Acta Polytechnica, 2012
In this paper we study the large time behavior of solutions to the Navier-Stokes equations. We present a brief survey of results concerning energy decay, and discuss a related phenomenon of the large time energy concentration in the frequency space ...
Zdenek Skalák
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