Results 21 to 30 of about 97 (96)
Domains of pseudo-differential operators: a case for the Triebel-Lizorkin spaces
Journal 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
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Strong approximation of Fourier series on generalized periodic Morrey spaces
Қарағанды 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
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Pointwise Multipliers of Triebel-Lizorkin Spaces on Carnot-Carathéodory Spaces
Journal 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
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Mathematics, 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
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On the pointwise multiplication in Besov and Lizorkin-Triebel spaces
International 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
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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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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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