[Turkmath:2957] MSGSÜ-Matematik Genel Seminer- Deniz Karlı- 26.04.2018, 16:00

[Sibel Şahin]

 Sayın liste üyeleri,

*26 Nisan, Perşembe 16:00'**da* MSGSÜ Matematik Bölümü Genel Semineri'nde
Işık Üniversitesi Matematik Bölümü'nden *Deniz Karlı* " *Singular Integral
Operators and New Multipliers in terms of Fractional Derivatives**"*
başlıklı bir konuşma verecektir. Konuşmanın özeti aşağıda yer almaktadır.

Seminerde görüşmek dileğiyle,
Sibel ŞAHİN


*Başlık:*   Singular Integral Operators and New Multipliers in terms of
Fractional Derivatives

*Özet:**  Probability Theory presents tools to study singular integral
operators and analytically difficult problems by means of stochastic
processes. One such problem is to determine a general class of multipliers
and so the bounded operators on function spaces. In this talk we will use a
discontinuous process, namely a symmetric stable process, to show
boundedness results of extended versions of classical singular integral
operators. We will define Littlewood-Paley operators arising from this
process and discuss the corresponding multipliers which are studied in [2].
We will introduce versions of intermediate operators appearing in the
Littlewood-Paley Theory and show our recent boundedness results in [1].
Finally we will discuss the relation between these new operators and
fractional derivative in its integral form and discuss multipliers defined
in terms of fractional derivatives. *
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