Results 71 to 80 of about 4,705,780 (288)

Sobolev Embedding Theorem for the Sobolev-Morrey spaces

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2016
In this paper we prove a Sobolev Embedding Theorem for Sobolev-Morrey spaces. The proof is based on the Sobolev Integral Representation Theorem and on a recent results on Riesz potentials in generalized Morrey spaces of Burenkov, Gogatishvili, Guliyev ...
V.I. Burenkov, N.A. Kydyrmina
doaj  

Weighted Norm Inequalities for Multilinear Fourier Multipliers with Mixed Norm

open access: yesAbstract and Applied Analysis, 2021
In this paper, weighted norm inequalities for multilinear Fourier multipliers satisfying Sobolev regularity with mixed norm are discussed. Our result can be understood as a generalization of the result by Fujita and Tomita by using the Lr-based Sobolev ...
Mai Fujita
doaj   +1 more source

Nevanlinna-Pick interpolation on Sobolev space

open access: yes, 1990
In this paper we shall prove an analog of the classical result of Nevanlinna and Pick concerning the bound of holomorphic functions on the unit disc that take prescribed values at prescribed points with the role that the classical Hardy space of analytic
J. Agler
semanticscholar   +1 more source

Phosphazene Base Mediated (sp3)C–H Functionalization with CO2 and CS2

open access: yesEuropean Journal of Inorganic Chemistry, Accepted Article.
The activation of weakly acidic (sp³)C–H bonds in substrates such as fluoroform (HCF3), perfluoroethane (HC2F5), and acetonitrile (H3CCN) remains a fundamental challenge in synthetic chemistry. We report that the phosphazene base {(Et2N)3P=N}3P=NtBu (EtP4) enables the selective deprotonation of these molecules when combined with electrophilic small ...
Katharina Wels   +4 more
wiley   +1 more source

An approach to metric space-valued Sobolev maps via weak* derivatives

open access: yesAnalysis and Geometry in Metric Spaces
We give a characterization of metric space-valued Sobolev maps in terms of weak* derivatives. More precisely, we show that Sobolev maps with values in dual-to-separable Banach spaces can be defined in terms of classical weak derivatives in a weak* sense.
Creutz Paul, Evseev Nikita
doaj   +1 more source

Clarkson’s Inequalities for Periodic Sobolev Space [PDF]

open access: yesУчёные записки Казанского университета: Серия Физико-математические науки, 2016
The paper is devoted to developing the proof of Clarkson's inequalities for periodic functions belonging to the Sobolev space. The norm of the space has not been considered earlier.
I.V. Korytov
doaj  

An improvement to the John-Nirenberg inequality for functions in critical Sobolev spaces

open access: yesAdvances in Nonlinear Analysis, 2020
It is known that functions in a Sobolev space with critical exponent embed into the space of functions of bounded mean oscillation, and therefore satisfy the John-Nirenberg inequality and a corresponding exponential integrability estimate.
Martínez Ángel D., Spector Daniel
doaj   +1 more source

Description and Convergence Order Analysis of the Finite Element‐Volume Spatial Discretization Method

open access: yesInternational Journal for Numerical Methods in Fluids, EarlyView.
This article presents the principles of Finite Element‐Volume discretization and conducts an analysis of its properties and convergence orders. The discretization ensures local mass conservation, second‐order convergence for velocity, and first‐order convergence for pressure.
Maria Adela Puscas   +3 more
wiley   +1 more source

Quasi-inner product spaces of quasi-Sobolev spaces and their completeness

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences, 2018
      Sequences spaces  , m  ,  p  have called quasi-Sobolev spaces were  introduced   by Jawad . K. Al-Delfi in 2013  [1]. In this  paper , we deal with notion of  quasi-inner product  space  by using concept of  quasi-normed  space which is ...
Jawad Kadhim Khalaf Al-Delfi
doaj   +1 more source

A short proof of the infinitesimal Hilbertianity of the weighted Euclidean space

open access: yesComptes Rendus. Mathématique, 2020
We provide a quick proof of the following known result: the Sobolev space associated with the Euclidean space, endowed with the Euclidean distance and an arbitrary Radon measure, is Hilbert.
Di Marino, Simone   +2 more
doaj   +1 more source

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