6 citations · 6 across the 4 of their papers we have counts for
7 papers
Individual ergodic theorems for infinite measure
Vladimir Chilin, Dogan Comez, Semyon Litvinov
Given a -finite infinite measure space , it is shown that any Dunford-Schwartz operator can be uniquely extended to the space $\ma…
Pointwise ergodic theorems in symmetric spaces of measurable functions
Vladimir Chilin, Dogan Comez, Semyon Litvinov
For a Dunford-Schwartz operator in a fully symmetric space of measurable functions of an arbitrary measure space, we prove pointwise convergence of the conventional and weighted er…
Quantization for uniform distributions on stretched Sierpiński triangles
Dogan Comez, Mrinal Kanti Roychowdhury
In this paper, we have considered a uniform probability distribution supported by a stretched Sierpiński triangle. For this probability measure, the optimal sets of -means and t…
Quantization for infinite affine transformations
Dogan Comez, Mrinal Kanti Roychowdhury
Quantization for a probability distribution refers to the idea of estimating a given probability by a discrete probability supported by a finite set. In this article, we consider a…
Quantization for uniform distributions of Cantor dusts on
Dogan Comez, Mrinal Kanti Roychowdhury
Let be a Borel probability measure on supported by the Cantor dusts generated by a set of , contractive similarity mappings satisfying the strong s…
On pointwise ergodic theorems for infinite measure
Vladimir Chilin, Dogan Comez, Semyon Litvinov
For a Dunford-Schwartz operator in the space, , of an arbitrary measure space, we prove pointwise convergence of the conventional and Besicovitch weighted e…
Good Modulating Sequences for the Ergodic Hilbert Transform
Azer Akhmedov, Dogan Comez
This article investigates classes of bounded sequences of complex numbers that are universally good for the ergodic Hilbert transform in L_p-spaces, 2\leq p\leq \infty : The class…