Add to ORKGIn this paper we analyze the oscillation of functions having derivatives in the H\"older or Zygmund class in terms of generalized differences and prove that its growth is governed by a version of the classical Kolmogorov's Law of the Iterated Logarithm. A better behavior is obtained for functions in the Lipschitz class via an interesting connection with Calder\'on-Zygmund operators.Comment: 16 page
AbstractWe extend Dyakonov's theorem on the moduli of holomorphic functions to the case of Lp-norms
AbstractMaking use of the Hohlov operator, the authors obtain inclusion relations between the classe...
In this paper, we will discuss the space of functions of weak bounded mean oscillation. In particula...
Given a bounded Lipschitz domain $D\subset \mathbb{R}^d$ and a Calder\'on-Zygmund operator $T$, we s...
In this paper the equivalence between the Campanato spaces and homogeneous Lipschitz spaces is shown...
In the mathematical literature, a plethora of different meanings and formal definitions have been as...
AbstractIt is well known that a Lipschitz function on the real line does not have to be operator Lip...
In this paper we study a class of continuous functions satisfying a certain Zyg-mund condition depen...
We study a rate of uniform approximations on the realline of summable Lipschitz functions f having a...
summary:\font\jeden=rsfs10 Let $\Cal H_{\mu }$ be the Zemanian space of Hankel transformable functio...
Inspired by the study of generalized Cesaro operator T_g introduced by Aleman and Siskakis we study ...
AbstractLet f(z) be an analytic function defined in the unit disc whose fractional derivative of ord...
David and Journé discovered a criterion for the continuity on L2 of Calder´on- Zygmund operators def...
It is known that, equally well in the unit disc as in the whole complex plane, the growth of the ana...
In this paper, we establish Lipschitz conditions for the norm of holomorphic mappings between the un...
AbstractWe extend Dyakonov's theorem on the moduli of holomorphic functions to the case of Lp-norms
AbstractMaking use of the Hohlov operator, the authors obtain inclusion relations between the classe...
In this paper, we will discuss the space of functions of weak bounded mean oscillation. In particula...
Given a bounded Lipschitz domain $D\subset \mathbb{R}^d$ and a Calder\'on-Zygmund operator $T$, we s...
In this paper the equivalence between the Campanato spaces and homogeneous Lipschitz spaces is shown...
In the mathematical literature, a plethora of different meanings and formal definitions have been as...
AbstractIt is well known that a Lipschitz function on the real line does not have to be operator Lip...
In this paper we study a class of continuous functions satisfying a certain Zyg-mund condition depen...
We study a rate of uniform approximations on the realline of summable Lipschitz functions f having a...
summary:\font\jeden=rsfs10 Let $\Cal H_{\mu }$ be the Zemanian space of Hankel transformable functio...
Inspired by the study of generalized Cesaro operator T_g introduced by Aleman and Siskakis we study ...
AbstractLet f(z) be an analytic function defined in the unit disc whose fractional derivative of ord...
David and Journé discovered a criterion for the continuity on L2 of Calder´on- Zygmund operators def...
It is known that, equally well in the unit disc as in the whole complex plane, the growth of the ana...
In this paper, we establish Lipschitz conditions for the norm of holomorphic mappings between the un...
AbstractWe extend Dyakonov's theorem on the moduli of holomorphic functions to the case of Lp-norms
AbstractMaking use of the Hohlov operator, the authors obtain inclusion relations between the classe...
In this paper, we will discuss the space of functions of weak bounded mean oscillation. In particula...