Results 61 to 70 of about 85,041 (264)
Lp Smoothness on Weighted Besov–Triebel–Lizorkin Spaces in terms of Sharp Maximal Functions
Journal 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
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Besov regularity of solutions to the p-Poisson equation [PDF]
, 2014 In this paper, we study the regularity of solutions to the $p$-Poisson equation for all ...
Dahlke, Stephan +4 more
core
Sobolev spaces in the presence of symmetries
Journal de Mathématiques Pures et Appliquées, 1997 We prove that Sobolev embeddings can be improved in the presence of symmetries. This includes embeddings in higher \(L^p\)-spaces and compactness properties of these embeddings. While such phenomena have been observed in specific context by several authors, we treat here the case of arbitrary Riemannian manifolds (where, in particular, no global chart ...
Hebey, Emmanuel, Vaugon, Michel
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A note on the Malliavin–Sobolev spaces [PDF]
Statistics & Probability Letters, 2016 In this paper, we provide a strong formulation of the stochastic G{ }teaux differentiability in order to study the sharpness of a new characterization, introduced in [6], of the Malliavin-Sobolev spaces. We also give a new internal structure of these spaces in the sense of sets inclusion.
Imkeller, Peter +3 more
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Optimal Control Applications and Methods, EarlyView.The graphical abstract highlights our research on Sobolev Hilfer fractional Volterra‐Fredholm integro‐differential (SHFVFI) control problems for 1<ϱ<2$$ 1<\varrho <2 $$. We begin with the Hilfer fractional derivative (HFD) of order (1,2) in Sobolev type, which leads to Volterra‐Fredholm integro‐differential equations.
Marimuthu Mohan Raja +3 more
wiley +1 more source
A direct proof of Sobolev embeddings for quasi-homogeneous Lizorkin–Triebel spaces with mixed norms
Journal of Function Spaces and Applications, 2007 The article deals with a simplified proof of the Sobolev embedding theorem for Lizorkin–Triebel spaces (that contain the Lp-Sobolev spaces Hps as special cases).
Jon Johnsen, Winfried Sickel
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Optimal stencils in Sobolev spaces [PDF]
IMA Journal of Numerical Analysis, 2017 This paper proves that the approximation of pointwise derivatives of order $s$ of functions in Sobolev space $W_2^m(\R^d)$ by linear combinations of function values cannot have a convergence rate better than $m-s-d/2$, no matter how many nodes are used for approximation and where they are placed.
Davydov, Oleg, Schaback, Robert
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A regional implementation of a mixed finite‐element, semi‐implicit dynamical core
Quarterly Journal of the Royal Meteorological Society, EarlyView.A regional version of a new dynamical core with an iterated semi‐implicit time discretisation and mixed finite‐element spatial discretisation is described. This involves modifying the mixed‐system and Helmholtz‐preconditioner equations to use lateral boundary condition (LBC) data specified by a driving model.
Christine Johnson +9 more
wiley +1 more source
American Journal of Political Science, EarlyView.Abstract The rise of social media in the digital era poses unprecedented challenges to authoritarian regimes that aim to influence public attitudes and behaviors. To address these challenges, we argue that authoritarian regimes have adopted a decentralized approach to produce and disseminate propaganda on social media.
Yingdan Lu +3 more
wiley +1 more source
Trace theorems for Sobolev-Slobodeckij spaces with or without weights
Journal of Function Spaces and Applications, 2007 We prove that the well-known trace theorem for weighted Sobolev spaces holds true under minimal regularity assumptions on the domain. Using this result, we prove the existence of a bounded linear right inverse of the trace operator for Sobolev ...
Doyoon Kim
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