LSU College of Science
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Wednesday, September 19, 2018

Harmonic Analysis Seminar  Abstract and additional information

Posted September 12, 2018

3:30 pm - 4:20 pm Lockett 232

Andreas Debrouwere, LSU
Factorization of quasianalytic vectors

For the abstract see: http://www.math.lsu.edu/~olafsson/Abstract_Debrouwere.pdf

Wednesday, September 26, 2018

Harmonic Analysis Seminar  Abstract and additional information

Posted September 12, 2018
Last modified September 18, 2018

3:30 pm - 4:20 pm Lockett 232 Originally scheduled for 3:20 pm, Tuesday, September 25, 2018

Jiuyi Zhu, LSU
Quantitative unique continuation of partial differential equations

Abstract: Motivated by the study of eigenfunctions, we consider the quantitative unique continuation (or quantitative uniqueness) of partial differential equations. The quantitative unique continuation is characterized by the order of vanishing of solutions, which describes quantitative behavior of strong unique continuation property. Strong unique continuation property states that if a solution that vanishes of infinite order at a point vanishes identically. It is interesting to know how the norms of the potential functions and gradient potentials control the order of vanishing. We will report some recent progresses about quantitative unique continuation in different Lebesgue spaces for semilinear elliptic equations, parabolic equations and higher order elliptic equations.

Tuesday, October 2, 2018

Harmonic Analysis Seminar  Abstract and additional information

Posted September 28, 2018

3:30 pm - 4:20 pm Lockett 232

Alexey Karapetyants, Southern Federal University, Russia and SUNY Albany
Mixed norm spaces of analytic functions as spaces of generalized fractional derivatives of functions in Hardy type spaces

We present a new general approach to the definition of a class of mixed norm spaces of analytic functions on the unit disc in complex plane. We study a problem of boundedness of Bergman projection in this general setting. We apply this general approach for the new concrete cases when the norms of variable exponent Lebesgue space, Orlicz space or generalized Morrey space are used. In general, such introduced spaces are the spaces of functions which are in a sense the generalized Hadamard type derivatives of analytic functions having lq summable Taylor coefficients.

Wednesday, November 7, 2018

Harmonic Analysis Seminar  Abstract and additional information

Posted September 12, 2018

3:30 pm - 4:20 pm Lockett 232

Anton Zeitlin, LSU
TBA