7 papers
Strong one-sided density without uniform density
Zoltán Buczolich, Bruce Hanson, Balázs Maga +1
In this paper we give an example of a closed, strongly one-sided dense set which is not of uniform density type. We also show that there is a set of uniform density type which is n…
Characterization of lip sets
Zoltán Buczolich, Bruce Hanson, Balázs Maga +1
We denote the local ``little" Lipschitz constant of a function by . In this paper we settle the following question: For which s…
Lipschitz one sets modulo sets of measure zero
Z. Buczolich, B. Hanson, B. Maga +1
We denote the local "little" and "big" Lipschitz functions of a function by and . In this paper we continue o…
Big and little Lipschitz one sets
Zoltán Buczolich, Bruce Hanson, Balázs Maga +1
Given a continuous function we denote the so-called "big Lip" and "little lip" functions by and respective…
Random constructions for translates of non-negative functions
Zoltán Buczolich, Bruce Hanson, Balázs Maga +1
Suppose is a discrete infinite set of nonnegative real numbers. We say that is type if the series does not satisfy a zero-one law. This means…
On sets where is finite
Zoltán Buczolich, Bruce Hanson, Martin Rmoutil +1
Given a function , the so-called "little lip" function is defined as follows: \begin{equation*} \operatorname{lip} f(x)=\li…