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UID:news504@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20181231T171557
DTSTART;TZID=Europe/Zurich:20130529T151500
SUMMARY:Seminar Analysis: Giovanni Alberti (University of Pisa)
DESCRIPTION:Rademacher theorem states that every Lipschitz function on the 
 euclidean  space is differentiable almost everywhere with respect to the L
 ebesgue  measure. In this talk I will explain how this statement should be
   modified when the Lebesgue measure is replaced by an arbitrary singular 
  measure\, and in particular I will show that the differentiability  prope
 rties of Lipschitz functions with respect to such a measure are  exactly d
 escribed by the decompositions of the measure in terms of  (measures on) r
 ectifiable curves. This result is directly related to  recent work by many
  authors\, including myself\, David Bate\, Marianna  Csornyei\, Peter Jone
 s\, Andrea Marchese\, and David Preiss.
X-ALT-DESC: \nRademacher theorem states that every Lipschitz function on th
 e euclidean  space is differentiable almost everywhere with respect to the
  Lebesgue  measure. In this talk I will explain how this statement should 
 be  modified when the Lebesgue measure is replaced by an arbitrary singula
 r  measure\, and in particular I will show that the differentiability  pro
 perties of Lipschitz functions with respect to such a measure are  exactly
  described by the decompositions of the measure in terms of  (measures on)
  rectifiable curves. This result is directly related to  recent work by ma
 ny authors\, including myself\, David Bate\, Marianna  Csornyei\, Peter Jo
 nes\, Andrea Marchese\, and David Preiss.
DTEND;TZID=Europe/Zurich:20130529T161500
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