Results 111 to 120 of about 5,040,927 (317)

Wavelet frames in Sobolev space over locally compact abelian group

Boletim da Sociedade Paranaense de Matemática
In this paper we construct wavelet frames for continuous and discrete wavelets on Sobolev space over abelian group. A necessary condition and sufficient conditions for wavelet frames in Sobolev space over Locally Compact Abelian Group are given ...
M. M. Dixit, C. P. Pandey, Pratima Devi
doaj   +1 more source

Multipliers of Sobolev spaces

Journal of Functional Analysis, 1982
AbstractLet Wm,p denote the Sobolev space of functions on Rn whose distributional derivatives of order up to m lie in Lp(Rn) for 1 ⩽ p ⩽ ∞. When 1 < p < ∞, it is known that the multipliers on Wm,p are the same as those on Lp. This result is true for p = 1 only if n = 1.
openaire   +2 more sources

Composition operators on Hardy-Sobolev spaces and $BMO$-quasiconformal mappings [PDF]

arXiv, 2021
In this paper we consider composition operators on Hardy-Sobolev spaces in connections with $BMO$-quasiconformal mappings. Using the duality of Hardy spaces and $BMO$-spaces we prove that $BMO$-quasiconformal mappings generate bounded composition operators from Hardy-Sobolev spaces to Sobolev spaces.
arxiv  

Compactness of higher-order Sobolev embeddings [PDF]

, 2012
We study higher-order compact Sobolev embeddings on a domain $\Omega \subseteq \mathbb R^n$ endowed with a probability measure $\nu$ and satisfying certain isoperimetric inequality.
Slavíková, Lenka
core  

Trace principle for Riesz potentials on Herz-type spaces and applications

Journal of Inequalities and Applications
We establish trace inequalities for Riesz potentials on Herz-type spaces and examine the optimality of conditions imposed on specific parameters.
M. Ashraf Bhat, G. Sankara Raju Kosuru
doaj   +1 more source

Polynomial differentiation decreases the training time complexity of physics-informed neural networks and strengthens their approximation power

Machine Learning: Science and Technology, 2023
We present novel approximates of variational losses, being applicable for the training of physics-informed neural networks (PINNs). The formulations reflect classic Sobolev space theory for partial differential equations (PDEs) and their weak ...
Juan-Esteban Suarez Cardona, Michael Hecht   +1 more
doaj   +1 more source

Exact constant in Sobolev's and Sobolev's trace inequalities for Grand Lebesgue Spaces [PDF]

arXiv, 2010
In this article we generalize the classical Sobolev's and Sobolev's trace inequalities on the Grand Lebesgue Spaces instead the classical Lebesgue Spaces. We will distinguish the classical Sobolev's inequality and the so-called trace Sobolev's inequality. We consider for simplicity only the case of whole space.
arxiv  

Symmetrization and sharp Sobolev inequalities in metric spaces [PDF]

arXiv, 2008
We derive sharp Sobolev inequalities for Sobolev spaces on metric spaces. In particular, we obtain new sharp Sobolev embeddings and Faber-Krahn estimates for H\"{o}rmander vector fields.
arxiv  

Oscillating waves and optimal smoothing effect for one-dimensional nonlinear scalar conservation laws [PDF]

, 2012
Lions, Perthame, Tadmor conjectured in 1994 an optimal smoothing effect for entropy solutions of nonlinear scalar conservations laws . In this short paper we will restrict our attention to the simpler one-dimensional case.
Castelli, Pierre, Junca, Stéphane
core   +3 more sources

Virtue as Competence: A Conceptual Integration of Competence Thinking with MacIntyrean Virtue Ethics

British Journal of Management, EarlyView.
Abstract Recent management education debates identify room for greater emphasis on character building within business school pedagogies. As a way forward, we suggest virtue ethics as an agent‐centred character‐building ethical approach that provides guidance in management education where norm‐ and outcome‐oriented ethical approaches have limits ...
Dirk C. Moosmayer, Marta Rocchi, Ignacio Ferrero   +2 more
wiley   +1 more source