Add to ORKGWe give a condition for a quasi-regular set to satisfy certain density, if is absolutely continuous with respect to and an inequality was hold. We investigate a Fourier asymptotic of fractal measures with a sharp bound. For a continuous measure with a monotone discrete sequence a best estimate was proved. Keywords: Maximal functions, Wiener’s Measures, Fractal Measures, quasi-regula
A theorem of Bourgain states that the harmonic measure for a domain in ℝ d is supported on a set of ...
We study divergence properties of the Fourier series on Cantor-type fractal measures, also called th...
We will show that the following set theoretical assumption \continuum=\omega2, the dominating numb...
In the first part of this thesis, we construct a function that lies in \(L^p(\mathbb{R}^d)\) for eve...
AbstractA measure μ on Rn will be called locally uniformly α-dimensional if μ(Br(x)) ⩽ crα for all r...
We give conditions under which every measurable function is the limit almost everywhere of a sequen...
Abstract. A measure µ on Rn is called locally and uniformly h-dimensional if µ(Br(x)) ≤ h(r) for al...
Suppose is an -dimensional fractal measure for some . Inspired by the results proved by Strichartz (...
Lebid M. Fractal analysis of singularly continuous measures generated by Cantor series expansions. B...
In the context of fractal geometry, the natural extension of volume in Euclidean space is given by H...
Here, we study some measures that can be represented by infinite Riesz products of 1-periodic functi...
We prove that supports of a wide class of temperate distributions with uniformly discrete support an...
We consider certain classes of functions with a restriction on the fractality of their graphs. Modif...
AbstractLet Q denote the Banach space (sup norm) of quasi-continuous functions defined on the interv...
The topic of this dissertation lies in the intersection of harmonic analysis and fractal geometry. W...
A theorem of Bourgain states that the harmonic measure for a domain in ℝ d is supported on a set of ...
We study divergence properties of the Fourier series on Cantor-type fractal measures, also called th...
We will show that the following set theoretical assumption \continuum=\omega2, the dominating numb...
In the first part of this thesis, we construct a function that lies in \(L^p(\mathbb{R}^d)\) for eve...
AbstractA measure μ on Rn will be called locally uniformly α-dimensional if μ(Br(x)) ⩽ crα for all r...
We give conditions under which every measurable function is the limit almost everywhere of a sequen...
Abstract. A measure µ on Rn is called locally and uniformly h-dimensional if µ(Br(x)) ≤ h(r) for al...
Suppose is an -dimensional fractal measure for some . Inspired by the results proved by Strichartz (...
Lebid M. Fractal analysis of singularly continuous measures generated by Cantor series expansions. B...
In the context of fractal geometry, the natural extension of volume in Euclidean space is given by H...
Here, we study some measures that can be represented by infinite Riesz products of 1-periodic functi...
We prove that supports of a wide class of temperate distributions with uniformly discrete support an...
We consider certain classes of functions with a restriction on the fractality of their graphs. Modif...
AbstractLet Q denote the Banach space (sup norm) of quasi-continuous functions defined on the interv...
The topic of this dissertation lies in the intersection of harmonic analysis and fractal geometry. W...
A theorem of Bourgain states that the harmonic measure for a domain in ℝ d is supported on a set of ...
We study divergence properties of the Fourier series on Cantor-type fractal measures, also called th...
We will show that the following set theoretical assumption \continuum=\omega2, the dominating numb...