Results 1 to 10 of about 315 (60)

The ideal of Lipschitz classical p-compact operators and its injective hull

open access: yesMoroccan Journal of Pure and Applied Analysis, 2022
We introduce and investigate the injective hull of the strongly Lipschitz classical p-compact operator ideal defined between a pointed metric space and a Banach space.
Tiaiba Toufik, Achour Dahmane
doaj   +1 more source

Some estimates for commutators of sharp maximal function on the p-adic Lebesgue spaces

open access: yesOpen Mathematics, 2023
In this article, the main aim is to consider the boundedness of the nonlinear commutator of pp-adic sharp maximal operator ℳp♯{{\mathcal{ {\mathcal M} }}}_{p}^{\sharp } with symbols belonging to the pp-adic Lipschitz spaces in the context of the pp-adic ...
Wu Jianglong, Chang Yunpeng
doaj   +1 more source

Big and little Lipschitz one sets [PDF]

open access: yes, 2021
Given a continuous function $f: {{\mathbb R}}\to {{\mathbb R}}$ we denote the so-called "big Lip" and "little lip" functions by $ {{\mathrm {Lip}}} f$ and $ {{\mathrm {lip}}} f$ respectively}.
Buczolich, Zoltán   +3 more
core   +2 more sources

Hölder Parameterization of Iterated Function Systems and a Self-Affine Phenomenon

open access: yesAnalysis and Geometry in Metric Spaces, 2021
We investigate the Hölder geometry of curves generated by iterated function systems (IFS) in a complete metric space. A theorem of Hata from 1985 asserts that every connected attractor of an IFS is locally connected and path-connected.
Badger Matthew, Vellis Vyron
doaj   +1 more source

A dichotomy of sets via typical differentiability

open access: yesForum of Mathematics, Sigma, 2020
We obtain a criterion for an analytic subset of a Euclidean space to contain points of differentiability of a typical Lipschitz function: namely, that it cannot be covered by countably many sets, each of which is closed and purely unrectifiable (has a ...
Michael Dymond, Olga Maleva
doaj   +1 more source

Compact weighted composition operators and fixed points in convex domains [PDF]

open access: yes, 2006
We extend a classical result of Caughran/Schwartz and another recent result of Gunatillake by showing that if D is a bounded, convex domain in n-dimensional complex space, m is a holomorphic function on D and bounded away from zero toward the boundary of
Clahane, Dana D.
core   +5 more sources

Data driven sampling of oscillating signals [PDF]

open access: yes, 2014
The reduction of the number of samples is a key issue in signal processing for mobile applications. We investigate the link between the smoothness properties of a signal and the number of samples that can be obtained through a level crossing sampling ...
Bidégaray-Fesquet, Brigitte   +1 more
core   +3 more sources

Regularity properties of distributions through sequences of functions [PDF]

open access: yes, 2012
We give necessary and sufficient criteria for a distribution to be smooth or uniformly H\"{o}lder continuous in terms of approximation sequences by smooth functions; in particular, in terms of those arising as regularizations $(T\ast\phi_{n})$.Comment ...
C. Garetto   +10 more
core   +2 more sources

Lusin type theorems for Radon measures [PDF]

open access: yes, 2016
We add to the literature the following observation. If $\mu$ is a singular measure on $\mathbb{R}^n$ which assigns measure zero to every porous set and $f:\mathbb{R}^n\rightarrow\mathbb{R}$ is a Lipschitz function which is non-differentiable $\mu$-a.e ...
Marchese, Andrea
core   +2 more sources

Inequalities via s−convexity and log −convexity

open access: yesTopological Algebra and its Applications, 2017
In this paper, we obtain some new inequalities for functions whose second derivatives’ absolute value is s−convex and log −convex. Also, we give some applications for numerical integration.
Akdemir Ahmet Ocak   +2 more
doaj   +1 more source

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