OS Partielle Differentialgleichungen: A randomized difference norm for vector-valued Bessel potential spaces
Time
Thursday, 24. January 2019
15:15 - 16:45
Location
F 426
Organizer
Speaker:
Nick Lindemulder (TU Delft)
This event is part of an event series „Oberseminar Partielle Differentialgleichungen“.
Zusammenfassung: In this talk we discuss a randomized di fference norm characterization for Bessel potential spaces in the UMD Banach space-valued setting. The main ingredients are R-boundedness results for Fourier multiplier operators, which are of independent interest. As an application we characterize the pointwise multiplier property of the indicator function of the half-space on these function spaces. The latter is an important ingredient in interpolation with boundary conditions.