Results 41 to 50 of about 5,281,258 (136)
Wavelet characterization of Besov and Triebel–Lizorkin spaces on spaces of homogeneous type and its applications [PDF]
, 2021 In this article, the authors establish the wavelet characterization of Besov and Triebel–Lizorkin spaces on a given space ( X , d , μ ) of homogeneous type in the sense of Coifman and Weiss.
Zi-Yi He +3 more
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Triebel-Lizorkin space boundedness of rough singular integrals associated to surfaces
, 2015 In the present paper, we consider the boundedness of the rough singular integral operator TΩ,h,ϕ$T_{\Omega,h,\phi}$ along a surface Γ={x=ϕ(|y|)y/|y|}$\Gamma=\{x=\phi(|y|)y/|y|\}$ on the Triebel-Lizorkin space F˙p,qα(Rn)$\dot{F}_{p,q}^{\alpha}({\mathbb{R}^
K. Yabuta
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Anisotropic, Mixed-Norm Lizorkin-Triebel Spaces and Diffeomorphic Maps
Journal of Function Spaces, 2014 This paper gives general results on invariance of anisotropic Lizorkin-Triebel spaces with mixed norms under coordinate transformations on Euclidean space, open sets, and cylindrical domains.
J. Johnsen, S. Munch Hansen, W. Sickel
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Karpatsʹkì Matematičnì Publìkacìï, 2021 In this paper, based on generalized Herz-type function spaces $\dot{K}_{q}^{p}(\theta)$ were introduced by Y. Komori and K. Matsuoka in 2009, we define Herz-type Besov spaces $\dot{K}_{q}^{p}B_{\beta }^{s}(\theta)$ and Herz-type Triebel-Lizorkin spaces $\
A. Djeriou, R. Heraiz
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Estimates for Generalized Parabolic Marcinkiewicz Integrals with Rough Kernels on Product Domains
Axioms, 2023 We prove Lp estimates of a class of generalized Marcinkiewicz integral operators with mixed homogeneity on product domains. By using these estimates along with an extrapolation argument, we obtain the boundedness of our operators under very weak ...
Mohammed Ali, Hussain Al-Qassem
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Monatshefte für Mathematik (Print), 2023 Continuing previous work, this paper provides maximal characterizations of anisotropic Triebel-Lizorkin spaces $$\dot{\textbf{F}}^{\alpha }_{p,q}$$ F ˙ p , q α for the endpoint case of $$p = \infty $$ p = ∞ and the full scale of parameters $$\alpha \in ...
Sarah Koppensteiner +2 more
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Lp-Sampling recovery for non-compact subclasses of L∞
Frontiers in Applied Mathematics and Statistics, 2023 In this article, we study the sampling recovery problem for certain relevant multivariate function classes on the cube [0, 1]d, which are not compactly embedded into L∞([0,1]d).
Glenn Byrenheid +3 more
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An Approximation Method for Convolution Calderón-Zygmund Operators
Abstract and Applied Analysis, 2013 We present an approximation method for convolution Calderón-Zygmund operators. We give a uniform approximation accuracy of the operators on the endpoint Triebel-Lizorkin space F˙1 0;q ...
Yunxia Yu, Zhanying Yang
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Lebesgue Points of Besov and Triebel–Lizorkin Spaces with Generalized Smoothness
Mathematics, 2021 In this article, the authors study the Lebesgue point of functions from Hajłasz–Sobolev, Besov, and Triebel–Lizorkin spaces with generalized smoothness on doubling metric measure spaces and prove that the exceptional sets of their Lebesgue points have ...
Ziwei Li, Dachun Yang, Wen Yuan
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Estimates for Certain Rough Multiple Singular Integrals on Triebel-Lizorkin Space
SymmetryThis paper focuses on studying the mapping properties of singular integral operators over product symmetric spaces. The boundedness of such operators is established on Triebel–Lizorkin spaces whenever their rough kernel functions belong to the Grafakos ...
H. Al-Qassem, Mohammed Ali
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