Results 61 to 70 of about 33,958 (245)

The boundedness of classical operators on variable L-p spaces [PDF]

, 2006
We show that many classical operators in harmonic analysis ---such as maximal operators, singular integrals, commutators and fractional integrals--- are bounded on the variable Lebesgue space $L^{p(\cdot)}$ whenever the Hardy-Littlewood maximal operator ...
Cruz Uribe, David, Fiorenza, Alberto, Martell Berrocal, José María, Pérez Moreno, Carlos   +3 more
core  

Quantitative Evaluation of Mechanical Defects for Circuit Breakers Based on Self‐Adaptive Fault Feature Tracking

High Voltage, EarlyView.
ABSTRACT Many researchers are committed to improving the diagnosis accuracy and solving the few‐shot problem on circuit breakers (CBs). However, the research on the vibration transmission mechanism of the fault is insufficient, which makes it difficult to find the potential design defects of CBs through vibration.
Jiayi Gong, Yaxiong Tan, Shangding Li, Jian Li   +3 more
wiley   +1 more source

Uniform estimates with data from generalized Lebesgue spaces in periodic structures

Boundary Value Problems, 2021
We study various types of uniform Calderón–Zygmund estimates for weak solutions to elliptic equations in periodic homogenization. A global regularity is obtained with respect to the nonhomogeneous term from weighted Lebesgue spaces, Orlicz spaces, and ...
Yunsoo Jang
doaj   +1 more source

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
openaire   +4 more sources

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

Multilinear strongly singular integral operators with generalized kernels and applications

AIMS Mathematics, 2021
In this paper, the authors study the boundedness properties of a class of multilinear strongly singular integral operator with generalized kernels on product of weighted Lebesgue spaces and product of variable exponent Lebesgue spaces, respectively ...
Shuhui Yang, Yan Lin
doaj   +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, Prisuelos-Arribas, Cruz   +1 more
core   +1 more source

Matrix-weighted bounds in variable Lebesgue spaces

Annales Fennici Mathematici
In this paper we prove boundedness of Calderón–Zygmund operators and the Christ–Goldberg maximal operator in the matrix-weighted variable Lebesgue spaces recently introduced by Cruz-Uribe and the second author. Our main tool to prove these bounds is through bounding a Goldberg auxiliary maximal operator.
Zoe Nieraeth, Michael Penrod
openalex   +5 more sources

Convolution operators in matrix weighted, variable Lebesgue spaces

Analysis and Applications
We 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
openaire   +2 more sources

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, Mari Myllymäki, Sonja Greven   +2 more
wiley   +1 more source