Results 31 to 40 of about 5,281,258 (136)

Lp Smoothness on Weighted Besov–Triebel–Lizorkin Spaces in terms of Sharp Maximal Functions

open access: yesJournal of Mathematics, 2021
It is known, in harmonic analysis theory, that maximal operators measure local smoothness of Lp functions. These operators are used to study many important problems of function theory such as the embedding theorems of Sobolev type and description of ...
Ferit Gürbüz, Ahmed Loulit
doaj   +1 more source

On anisotropic Triebel-Lizorkin type spaces, with applications to the study of pseudo-differential operators

open access: yesJournal of Function Spaces and Applications, 2008
A construction of Triebel-Lizorkin type spaces associated with flexible decompositions of the frequency space ℝd is considered. The class of admissible frequency decompositions is generated by a one parameter group of (anisotropic) dilations on ℝd and a ...
Lasse Borup, Morten Nielsen
doaj   +1 more source

Elliptic problems in Besov and Sobolev—Triebel—Lizorkin spaces of low regularity

open access: yesДоповiдi Нацiональної академiї наук України, 2021
Elliptic problems with additional unknown distributions in boundary conditions are investigated in Besov and Sobolev–Triebel–Lizorkin spaces of low regularity, specifically of an arbitrary negative order.
I.S. Chepurukhina, A.A. Murach
doaj   +1 more source

Domains of pseudo-differential operators: a case for the Triebel-Lizorkin spaces

open access: yesJournal of Function Spaces and Applications, 2005
The main result is that every pseudo-differential operator of type 1, 1 and order d is continuous from the Triebel-Lizorkin space Fp,1d to Lp, 1≤p≺∞, and that this is optimal within the Besov and Triebel-Lizorkin scales. The proof also leads to the known
Jon Johnsen
doaj   +1 more source

Strong approximation of Fourier series on generalized periodic Morrey spaces

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2018
In recent years, a lot of attention has been paid to study of Morrey type spaces. Many applications in partial differential equation of Morrey spaces and Lizorkin-Triebel spaces have been given in work G.Di Fazioand, M.
A.N. Adilkhanov   +2 more
doaj   +1 more source

On the Triebel-Lizorkin space boundedness of Marcinkiewicz integrals along compound surfaces

open access: yes, 2017
. In this paper the author present the boundedness of Marcinkiewicz integral operators associated to compound surfaces with rough kernels given by h ∈ Δ γ ( R + ) and Ω ∈ L ( log + L ) 1 / 2 ( S n − 1 ) ∪ ( ∪ 1 < r < ∞ B 0 , − 1 / 2 r ( S n − 1 )) on ...
Feng Liu
semanticscholar   +1 more source

Difference Characterization of Besov and Triebel–Lizorkin Spaces on Spaces of Homogeneous Type [PDF]

open access: yesCommunications in Mathematics and Statistics, 2021
In this article, the authors introduce the spaces of Lipschitz type on spaces of homogeneous type in the sense of Coifman and Weiss, and discuss their relations with Besov and Triebel–Lizorkin spaces.
Fan Wang   +3 more
semanticscholar   +1 more source

Pointwise Multipliers of Triebel-Lizorkin Spaces on Carnot-Carathéodory Spaces

open access: yesJournal of Function Spaces and Applications, 2012
Let be a Carnot-Carathéodory space, namely, is a smooth manifold, is a control, or Carnot-Carathéodory, metric induced by a collection of vector fields of finite type.
Yanchang Han, Fang Wang
doaj   +1 more source

Hardy Inequalities and Interrelations of Fractional Triebel–Lizorkin Spaces in a Bounded Uniform Domain

open access: yesMathematics, 2022
The interrelations of Triebel–Lizorkin spaces on smooth domains of Euclidean space Rn are well-established, whereas only partial results are known for the non-smooth domains.
Jun Cao   +3 more
doaj   +1 more source

On the pointwise multiplication in Besov and Lizorkin-Triebel spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2006
Under some sufficient conditions satisfied by F-space of Lizorkin and Triebel and B-space of Besov, we prove some embeddings of types F⋅B↪F, F⋅F↪F, and B⋅B↪B.
Douadi Drihem, Madani Moussai
doaj   +1 more source

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