Results 71 to 80 of about 5,281,258 (136)

Besov regularity for solutions of p-harmonic equations

Advances in Nonlinear Analysis, 2017
We establish the higher fractional differentiability of the solutions to nonlinear elliptic equations in divergence form, i.e., div⁡𝒜⁢(x,D⁢u)=div⁡F,{\operatorname{div}\mathcal{A}(x,Du)=\operatorname{div}F,} when 𝒜{\mathcal{A}} is a p-harmonic type ...
Clop Albert, Giova Raffaella, Passarelli di Napoli Antonia   +2 more
doaj   +1 more source

Boundedness of Rough Multiple Oscillatory Singular Integral Operators on Triebel–Lizorkin Space

Mathematics
In this article, we investigate oscillatory singular integral operators on product domains. We establish the boundedness of these operators on Triebel–Lizorkin spaces under weak assumptions on the rough kernel functions.
Mohammed Ali, Hussain Al-Qassem
doaj   +1 more source

POINTWISE MULTIPLICATION IN THE REALIZED HOMOGENEOUS BESOV AND TRIEBEL-LIZORKIN SPACES

Проблемы анализа, 2018
For either homogeneous Besov spaces B_(s;p,q)(R_n) or homogeneous Triebel-Lizorkin spaces F_(s;p,q)(R_n), with the conditions either s < n/p, or s = n/p and q ≤ 1 in the B_(s;p,q)-case, p ≤ 1 in the F_(s;p,q)-case, we prove some pointwise multiplication ...
Madani Moussai, Samira Bissar
doaj   +1 more source

A note on maximal singular integrals with rough kernels

Journal of Inequalities and Applications, 2020
In this note we study the maximal singular integral operators associated with a homogeneous mapping with rough kernels as well as the corresponding maximal operators.
Xiao Zhang, Feng Liu
doaj   +1 more source

Quantitative Hahn-Banach Theorems and Isometric Extensions forWavelet and Other Banach Spaces

Axioms, 2013
We introduce and study Clarkson, Dol’nikov-Pichugov, Jacobi and mutual diameter constants reflecting the geometry of a Banach space and Clarkson, Jacobi and Pichugov classes of Banach spaces and their relations with James, self-Jung, Kottman and Schäffer
Sergey Ajiev
doaj   +1 more source

Remarks on regularity criteria for the 3D Navier-Stokes equations

Electronic Journal of Differential Equations, 2014
In this article, we study the regularity criteria for the 3D Navier-Stokes equations involving derivatives of the partial components of the velocity. It is proved that if $\nabla_{h}\widetilde{u}$ belongs to Triebel-Lizorkin space, $\nabla u_3$ or ...
Ruiying Wei, Yin Li
doaj  

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

Проблемы 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

A generalization of a localization property of Besov spaces

Karpatsʹkì Matematičnì Publìkacìï, 2018
The notion of a localization property of Besov spaces is introduced by G. Bourdaud, where he has provided that the Besov spaces $B^{s}_{p,q}(\mathbb{R}^{n})$, with $s\in\mathbb{R}$ and $p,q\in[1,+\infty]$ such that $p\neq q$, are not localizable in the $\
N. Ferahtia, S.E. Allaoui
doaj   +1 more source

New framework for weighted Besov-Triebel-Lizorkin type spaces

Journal of Innovative Applied Mathematics and Computational Sciences
In this paper, we introduce non-homogeneous weighted Besov-type spaces and non-homogeneous weighted Triebel-Lizorkin-type spaces. We then establish their characterizations in terms of local means and prove some remarkable embeddings.
Ahmed Loulit
doaj   +1 more source

Generalized Marcinkiewicz Integral Operators Along Certain Surfaces

Mathematics
In this article, a class of rough generalized Marcinkiewicz operators is considered. Under the condition that the singular kernel belongs to the space Lq(Sn−1), the boundedness of these operators is confirmed from the space of homogeneous Triebel ...
Mohammed Ali
doaj   +1 more source