Results 61 to 70 of about 18,802 (182)
On Some Properties of Convolutions in Variable Exponent Lebesgue Spaces
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Daniyal M. Israfilov, Elife Yirtici
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On MAP Estimates and Source Conditions for Drift Identification in SDEs
ABSTRACT We consider the inverse problem of identifying the drift in an stochastic differential equation (SDE) from n$n$ observations of its solution at M+1$M+1$ distinct time points. We derive a corresponding maximum a posteriori (MAP) estimate, we prove differentiability properties as well as a so‐called tangential cone condition for the forward ...
Daniel Tenbrinck +3 more
wiley +1 more source
With the help of the boundedness of the n-dimensional fractional Hardy operator and its adjoint operator on Lebesgue space with variable exponent, by applying hierarchical decomposition of function and real variable techniques, we obtain the boundedness ...
辛银萍(XIN Yinping)
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I. Vekua’s integral representations of holomorphic functions, whose m-th derivative (m≥0) is Hӧlder-continuous in a closed domain bounded by the Lyapunov curve, are generalized for analytic functions whose m-th derivative is representable by a Cauchy ...
Vakhtang Kokilashvili +1 more
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JOHN-NIRENBERG INEQUALITIES ON LEBESGUE SPACES WITH VARIABLE EXPONENTS
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ABSTRACT Data‐based learning of system dynamics allows model‐based control approaches to be applied to systems with partially unknown dynamics. Gaussian process regression is a preferred approach that outputs not only the learned system model but also the variance of the model, which can be seen as a measure of uncertainty.
Daniel Landgraf +2 more
wiley +1 more source
Bessel–Riesz Operator in Variable Lebesgue Spaces Lp(·)(
This paper investigates the Bessel–Riesz operator within the framework of variable Lebesgue spaces. We extend existing results by establishing boundedness under more general conditions.
Muhammad Nasir +2 more
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Moderate Deviation Principles for Lacunary Trigonometric Sums
ABSTRACT Classical works of Kac, Salem, and Zygmund, and Erdős and Gál have shown that lacunary trigonometric sums despite their dependency structure behave in various ways like sums of independent and identically distributed random variables. For instance, they satisfy a central limit theorem (CLT) and a law of the iterated logarithm.
Joscha Prochno, Marta Strzelecka
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Change Point Analysis for Functional Data Using Empirical Characteristic Functionals
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
Relatively compact sets in variable-exponent Lebesgue spaces
The authors study totally bounded sets in variable Lebesgue spaces over metric measure spaces with doubling measure. Let \((X,\varrho,\mu)\) be a metric measure space equipped with a metric \(\varrho\) and a doubling measure \(\mu\) and \(p:X\to(0,\infty]\) be a measurable map such that \(p_-:=\text{ess\,inf}_{x\in X}p(x)>0\) and \(p_+:=\mathrm{ess ...
Bandaliyev R., Górka P.L.
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