Results 1 to 10 of about 5,328,680 (285)

Generalized Pointwise Hölder Spaces Defined via Admissible Sequences

open access: yesJournal of Function Spaces, 2018
We introduce in this paper a generalization of the pointwise Hölder spaces. We give alternative definitions of these spaces, look at their relationship with the wavelets, and introduce a notion of generalized Hölder exponent.
Damien Kreit, Samuel Nicolay
doaj   +2 more sources

Classes of Kernels and Continuity Properties of the Double Layer Potential in Hölder Spaces [PDF]

open access: yesIntegral equations and operator theory, 2023
We prove the validity of regularizing properties of the boundary integral operator corresponding to the double layer potential associated to the fundamental solution of a nonhomogeneous second order elliptic differential operator with constant ...
M. Lanza de Cristoforis
semanticscholar   +1 more source

Boundary regularity estimates in Hölder spaces with variable exponent [PDF]

open access: yesCalculus of Variations and Partial Differential Equations, 2021
We present a general blow-up technique to obtain local regularity estimates for solutions, and their derivatives, of second order elliptic equations in divergence form in Hölder spaces with variable exponent.
S. Vita
semanticscholar   +1 more source

Inequalities for integral operators in Hölder–Morrey spaces on differential forms

open access: yesJournal of Inequalities and Applications, 2023
The Hölder–Morrey spaces Λ κ p , τ ( Ω , ∧ l ) $\Lambda _{\kappa}^{p,\tau}(\Omega ,\wedge ^{l})$ are proposed in this paper. The imbedding inequalities for homotopy operator are derived in Hölder–Morrey spaces on differential forms. The Hölder continuity
Xuexin Li, Jianwei Wang, Ning Pan
doaj   +1 more source

Cauchy singular integral operator with parameters in Log-Hölder spaces [PDF]

open access: yesJournal d'Analyse Mathematique, 2020
This paper is motivated by a claim in the classical textbook of Muskhelishvili concerning the Cauchy singular integral operator S on Hölder functions with parameters.
Yifei Pan, Yuan Zhang
semanticscholar   +1 more source

New interpolation spaces and strict Hölder regularity for fractional abstract Cauchy problem

open access: yesBoundary Value Problems, 2021
We know that interpolation spaces in terms of analytic semigroup have a significant role into the study of strict Hölder regularity of solutions of classical abstract Cauchy problem (ACP).
Md Mansur Alam   +2 more
doaj   +1 more source

On Strong Approximation in Generalized Hölder and Zygmund Spaces

open access: yesComputer Sciences & Mathematics Forum, 2023
The strong approximation of a function is a useful tool to analyze the convergence of its Fourier series. It is based on the summability techniques. However, unlike matrix summability methods, it uses non-linear methods to derive an auxiliary sequence ...
Birendra Singh, Uaday Singh
doaj   +1 more source

Convergence of U-processes in Hölder spaces with application to robust detection of a changed segment [PDF]

open access: yesStatistical Papers, 2019
To detect a changed segment (so called epidemic changes) in a time series, variants of the CUSUM statistic are frequently used. However, they are sensitive to outliers in the data and do not perform well for heavy tailed data, especially when short ...
A. Račkauskas, M. Wendler
semanticscholar   +1 more source

Intrinsically Hölder Sections in Metric Spaces [PDF]

open access: yesWSEAS Transactions on Mathematics, 2022
We introduce the notion of intrinsically Holder graphs in metric spaces that generalized the one of ¨ intrinsically Lipschitz sections. This concept is relevant because it has many properties similar to Holder maps but ¨ is profoundly different from them.
D. Donato
semanticscholar   +1 more source

Bounded distortion homeomorphisms on ultrametric spaces [PDF]

open access: yes, 2010
It is well-known that quasi-isometries between R-trees induce power quasi-symmetric homeomorphisms between their ultrametric end spaces. This paper investigates power quasi-symmetric homeomorphisms between bounded, complete, uniformly perfect ...
Hughes, Bruce   +2 more
core   +3 more sources

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