Some notes on commutators of the fractional maximal function on variable Lebesgue spaces
Let ...
Pu Zhang, Zengyan Si, Jianglong Wu
doaj +1 more source
Topologically, quasiconformally or Lipschitz locally flat approximation of embeddings
Let CAT denote either the category LIP of locally bi-Lipschitz embeddings or the category LQC of locally quasiconformal embeddings. The following theorem consists of representative special cases of our main results: For range manifolds not of dimension 4,
Luukkainen, Jouni
core +1 more source
A Non‐Parametric Framework for Correlation Functions on Product Metric Spaces
Summary We propose a non‐parametric framework for analysing data defined over products of metric spaces, a versatile class encountered in various fields. This framework accommodates non‐stationarity and seasonality and is applicable to both local and global domains, such as the Earth's surface, as well as domains evolving over linear time or time ...
Pier Giovanni Bissiri +3 more
wiley +1 more source
LOCAL BI-LIPSCHITZ CLASSIFICATION OF SEMIALGEBRAIC SURFACES
We provide bi-Lipschitz invariants for finitely determined map germs f: (Kn, 0) → (Kp, 0), where K = R or C. The aim of the paper is to provide partial answers to the following questions: Does the bi-Lipschitz type of a map germ f: (Rn, 0) → (Rp, 0) determine the bi-Lipschitz type of the link of f and the double point set of f?
Jean-Paul Brasselet +2 more
openaire +2 more sources
Detecting Relevant Deviations From the White Noise Assumption for Non‐Stationary Time Series
ABSTRACT We consider the problem of detecting deviations from a white noise assumption in time series. Our approach differs from the numerous methods proposed for this purpose with respect to two aspects. First, we allow for non‐stationary time series. Second, we address the problem that a white noise test is usually not performed because one believes ...
Patrick Bastian
wiley +1 more source
Semilocal convergence conditions for the secant method, using recurrent functions
Using our new concept of recurrent functions, we present new sufficient convergence conditions for the secant method to a locally unique solution of a nonlinear equation in a Banach space.
Ioannis K. Argyros, Saïd Hilout
doaj +2 more sources
A note on fractional integral operators on Herz spaces with variable exponent
In this note, we prove that the fractional integral operators from Herz spaces with variable exponent K ˙ p ( ⋅ ) , q α $\dot{K}^{\alpha}_{p(\cdot), q}$ to Lipschitz-type spaces are bounded provided p ( ⋅ ) $p(\cdot)$ is locally log-Hölder continuous and
Meng Qu, Jie Wang
doaj +1 more source
Adaptive Estimation for Weakly Dependent Functional Times Series
ABSTRACT We propose adaptive mean and autocovariance function estimators for stationary functional time series under 𝕃p−m‐approximability assumptions. These estimators are designed to adapt to the regularity of the curves and to accommodate both sparse and dense data designs.
Hassan Maissoro +2 more
wiley +1 more source
Discretization methods for nonconvex differential inclusions
We prove the existence of solutions for the differential inclusion $\dot x(t)\in F(t,x(t)) + f(t,x(t))$ for a multifunction $F$ upper semicontinuous with compact values contained in the generalized Clarke gradient of a regular locally Lipschitz function ...
M. Yarou
doaj +1 more source
Line search algorithms for locally Lipschitz functions on Riemannian manifolds [PDF]
This paper presents line search algorithms for finding extrema of locally Lipschitz functions defined on Riemannian manifolds. To this end we generalize the so-called Wolfe conditions for nonsmooth functions on Riemannian manifolds.
Yousefpour, Rohollah +2 more
core +1 more source

