Results 21 to 30 of about 538,001 (326)

Application of Capacities to Space-Time Fractional Dissipative Equations II: Carleson Measure Characterization for Lq(ℝ+n+1,μ)L^q (\mathbb{R}_ + ^{n + 1} ,\mu )−Extension

open access: yesAdvances in Nonlinear Analysis, 2022
This paper provides the Carleson characterization of the extension of fractional Sobolev spaces and Lebesgue spaces to Lq(ℝ+n+1,μ)L^q (\mathbb{R}_ + ^{n + 1} ,\mu ) via space-time fractional equations.
Li Pengtao, Zhai Zhichun
doaj   +1 more source

Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale [PDF]

open access: yes, 2000
I show that it is possible to formulate the Relativity postulates in a way that does not lead to inconsistencies in the case of space-times whose short-distance structure is governed by an observer-independent length scale.
Aloisio R.   +4 more
core   +2 more sources

On Variable Exponent Amalgam Spaces

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012
We derive some of the basic properties of weighted variable exponent Lebesgue spaces Lp(.)w (ℝn) and investigate embeddings of these spaces under some conditions.
Aydin İsmail
doaj   +1 more source

Banach space projections and Petrov-Galerkin estimates [PDF]

open access: yes, 2015
We sharpen the classic a priori error estimate of Babuska for Petrov-Galerkin methods on a Banach space. In particular, we do so by (i) introducing a new constant, called the Banach-Mazur constant, to describe the geometry of a normed vector space; (ii ...
Stern, Ari
core   +1 more source

Best N-Simultaneous Approximation in Lp(μ,X)

open access: yesJournal of Function Spaces, 2017
Let X be a Banach space.
Tijani Pakhrou
doaj   +1 more source

On an extension of singular integrals along manifolds of finite type

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2006
We extend the Lp-boundedness of a class of singular integral operators under the H1 kernel condition on a compact manifold from the homogeneous Sobolev space L˙αp(ℝn) to the Lebesgue space Lp(ℝn).
Abdelnaser Al-Hasan, Dashan Fan
doaj   +1 more source

Characterization and first results of the planetary borehole-wall imager — methods to develop for in-situ exploration

open access: yesOpen Astronomy, 2019
Prototypes of borehole-wall imager instruments were developed and tested at a desert riverbed in Morocco and at a lake’s salty flat in the Atacama desert, to support the drilling activity of ExoMars rover.
Kereszturi Ákos   +7 more
doaj   +1 more source

Probability Error Bounds for Approximation of Functions in Reproducing Kernel Hilbert Spaces

open access: yesJournal of Function Spaces, 2021
We find probability error bounds for approximations of functions f in a separable reproducing kernel Hilbert space H with reproducing kernel K on a base space X, firstly in terms of finite linear combinations of functions of type Kxi and then in terms of
Ata Deniz Aydın, Aurelian Gheondea
doaj   +1 more source

The effects of lumboperitoneal and ventriculoperitoneal shunts on the cranial and spinal cerebrospinal fluid volume in a patient with idiopathic intracranial hypertension [PDF]

open access: yes, 2016
Lumboperitoneal (LP) and ventriculoperitoneal (VP) shunts are a frequent treatment modality for idiopathic intracranial hypertension (IIH). Although these shunts have been used for a long time, it is still not clear how they change the total craniospinal
Frobe, Ana   +5 more
core   +2 more sources

Some Properties of lp(A,X) Spaces

open access: yesAbstract and Applied Analysis, 2009
We provide a representation of elements of the space lp(A,X) for a locally convex space X and 1 ...
Xiaohong Fu, Songxiao Li
doaj   +1 more source

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