Results 61 to 70 of about 33,554 (201)
Embeddings of local generalized Morrey spaces between weighted Lebesgue spaces [PDF]
Nonlinear Analysis, 2017 Let \(p\in (0,\infty)\). Given a weight \(w\) (i.e., a positive measurable function) on \(\mathbb R^n\), denote by \(L^p(\mathbb R^n, w)\) the weighted Lebesgue space and equip it with the (quasi)norm \[ \|f\|_{L^p(\mathbb R^n, w)}:=\Big(\int_{\mathbb R^n}|f(x)|^p w(x)\,dx\Big)^{1/p}. \] If \(\varphi\) is a positive measurable function on \((0,\infty)\)
Almeida, Alexandre, Samko, Stefan
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Residual Life Assessment of Oil‐Immersed Insulating Paper by FTIR Feature Interpretability Evolution
High Voltage, EarlyView.ABSTRACT The ageing of insulating paper escalates the peril of insulation failure in oil‐impregnated‐paper power equipment. Consequently, the real‐time monitoring and non‐destructive assessment of insulating paper condition assume paramount significance.
Guangyi Liu +8 more
wiley +1 more source
Weighted Hardy spaces associated with elliptic operators. Part II : characterizations of h1 L (w) [PDF]
, 2018 Given a Muckenhoupt weight w and a second order divergence form elliptic operator L, we consider different versions of the weighted Hardy space H1 L (w)defined by conical square functions and non-tangential maximal functions associated with the heat and ...
Martell, José María +1 more
core +1 more source
Convolution operators in matrix weighted, variable Lebesgue spaces
Analysis and ApplicationsWe extend the theory of matrix weights to the variable Lebesgue spaces. The theory of matrix [Formula: see text] weights has attracted considerable attention beginning with the work of Nazarov, Treil, and Volberg in the 1990s. We extend this theory by generalizing the matrix [Formula: see text] condition to the variable exponent setting.
Cruz-Uribe, David, Penrod, Michael
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Alternative Approaches for Estimating Highest‐Density Regions
International Statistical Review, EarlyView.Summary Among the variety of statistical intervals, highest‐density regions (HDRs) stand out for their ability to effectively summarise a distribution or sample, unveiling its distinctive and salient features. An HDR represents the minimum size set that satisfies a certain probability coverage, and current methods for their computation require ...
Nina Deliu, Brunero Liseo
wiley +1 more source
On Smoothness of the Solution to the Abel Equation in Terms of the Jacobi Series Coefficients
Axioms, 2020 In this paper, we continue our study of the Abel equation with the right-hand side belonging to the Lebesgue weighted space. We have improved the previously known result— the existence and uniqueness theorem formulated in terms of the Jacoby series ...
Maksim V. Kukushkin
doaj +1 more source
On Spatial Point Processes With Composition‐Valued Marks
International Statistical Review, EarlyView.Summary Methods for marked spatial point processes with scalar marks have seen extensive development in recent years. While the impressive progress in data collection and storage capacities has yielded an immense increase in spatial point process data with highly challenging non‐scalar marks, methods for their analysis are not equally well developed ...
Matthias Eckardt +2 more
wiley +1 more source
Change Point Analysis for Functional Data Using Empirical Characteristic Functionals
Journal of Time Series Analysis, EarlyView.ABSTRACT We develop a new method to detect change points in the distribution of functional data based on integrated CUSUM processes of empirical characteristic functionals. Asymptotic results are presented under conditions allowing for low‐order moments and serial dependence in the data establishing the limiting null‐distribution of the proposed test ...
Lajos Horváth +2 more
wiley +1 more source
Poisson summation formula in weighted Lebesgue spaces
We characterize the parameters $(α,β,p,q)$ for which the condition $f|x|^α\in L^p$ and $\widehat{f}|ξ|^β\in L^q$ implies the validity of the Poisson summation formula, thus completing the study of Kahane and Lemarié-Rieusset.
Saucedo, Miquel, Tikhonov, Sergey
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Approximation theorems in weighted Lebesgue spaces with variable exponent
Filomat, 2021 In this work, approximation properties of de la Vall?e-Poussin means are investigated in weighted Lebesgue spaces with variable exponent where weight function belongs to Muckenhoupt class. For this purpose direct, inverse and simultaneous theorems of approximation theory are proved and constructive characterizations of functions are ...
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