Results 41 to 50 of about 82,525 (218)

Wave-front sets in non-quasianalytic setting for Fourier Lebesgue and modulation spaces [PDF]

open access: yes, 2018
We define and study wave-front sets for weighted Fourier-Lebesgue spaces when the weights are moderate with respect to the associated functions for general sequences $\{ M_p\} $ which satisfy Komatsu's conditions $(M.1) - (M.3)'$. In particular, when $\{
Teofanov, Nenad
core   +1 more source

Quantum measure and integration theory

open access: yes, 2009
This article begins with a review of quantum measure spaces. Quantum forms and indefinite inner-product spaces are then discussed. The main part of the paper introduces a quantum integral and derives some of its properties.
Gudder S.   +4 more
core   +1 more source

Decomposition of Lebesgue Spaces

open access: yesAdvances in Mathematics, 1998
The author proves existence and uniqueness of a canonical system of measures for a strictly separable \(\sigma\)-subalgebra of a Lebesgue space. Moreover, the product structure of the factor space for the smallest \(\sigma\)-subalgebra generated by strictly separable \(\sigma\)-subalgebras of a Lebesgue space being stochastically independent is studied.
openaire   +2 more sources

Front Propagation Through a Perforated Wall

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki   +2 more
wiley   +1 more source

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

Multiobjective Optimization of Hydrogen‐Assisted Calophyllum inophyllum Biodiesel Operation in a Compression Ignition Engine

open access: yesEnergy Science &Engineering, EarlyView.
Tri‐fuel diesel–Calophyllum inophyllum biodiesel–hydrogen operation was tested over 96 points in a diesel engine. Eight performance and emission metrics feed a preference‐agnostic Bootstrapped Empirical Multiobjective Ranking and Selection methodology, revealing load‐blend‐hydrogen windows that increase efficiency, restrain smoke, and expose NOx trade ...
C. Naga Kumar   +5 more
wiley   +1 more source

Two-Weight Norm Inequality for the One-Sided Hardy-Littlewood Maximal Operators in Variable Lebesgue Spaces

open access: yesJournal of Function Spaces, 2016
The authors establish the two-weight norm inequalities for the one-sided Hardy-Littlewood maximal operators in variable Lebesgue spaces. As application, they obtain the two-weight norm inequalities of variable Riemann-Liouville operator and variable Weyl
Caiyin Niu, Zongguang Liu, Panwang Wang
doaj   +1 more source

Mean oscillation and boundedness of multilinear operator related to multiplier operator

open access: yesOpen Mathematics, 2021
In this paper, the boundedness of certain multilinear operator related to the multiplier operator from Lebesgue spaces to Orlicz spaces is obtained.
Zhao Qiaozhen, Huang Dejian
doaj   +1 more source

Cauchy Problems in Weighted Lebesgue Spaces [PDF]

open access: yesCzechoslovak Mathematical Journal, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cholewa, Jan W., Dlotko, Tomasz
openaire   +1 more source

Edge‐Length Preserving Embeddings of Graphs Between Normed Spaces

open access: yesJournal of Graph Theory, EarlyView.
ABSTRACT The concept of graph embeddability, initially formalized by Belk and Connelly and later expanded by Sitharam and Willoughby, extends the question of embedding finite metric spaces into a given normed space. A finite simple graph G = ( V , E ) $G=(V,E)$ is said to be ( X , Y ) $(X,Y)$‐embeddable if any set of induced edge lengths from an ...
Sean Dewar   +3 more
wiley   +1 more source

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