Семинар за анализу, 10. мај 2023.
- 08. Мај, 2023
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Наредни састанак Семинара биће одржан онлајн у среду, 10. маја 2023. са почетком у 16 часова.
Предавач: Илгиз Кајумов (Универзитет у Казану)
Наслов предавања: ESTIMATES FOR THE INTEGRALS OF DERIVATIVES OF RATIONAL FUNCTIONS IN MULTIPLY CONNECTED DOMAINS IN THE PLANE
Апстракт: I am going to decribe our recent results obtained together with Anton Baranov. We prove estimates for the integrals of derivatives of rational functions in multiply connected domains in the plane. A sharp order of growth is found for the integral of the modulus of the derivative of a finite Blaschke product in the unit disc. We also extend the results of Dolzhenko about the integrals of the derivatives of rational functions to a wider class of domains, namely, to domains bounded by rectifiable curves and show the sharpness of the results obtained.
Линк за приступ предавању:
https://us02web.zoom.us/j/6636215428?pwd=bllJSTUvZ0E5MjhkMkxYa3RYYzZpQT09
Meeting ID: 663 621 5428
Passcode: 7h6KR1
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