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DTSTART:20250309T070000
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DTSTART:20251102T060000
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DTSTART;TZID=America/Toronto:20260108T160000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20260108T172000
URL:https://uwaterloo.ca/pure-mathematics/events/analysis-seminar-212
SUMMARY:Analysis Seminar
CLASS:PUBLIC
DESCRIPTION:PAVEL ZATITSKII\, UNIVERSITY OF CINCINNATI\n\n_Extremal proble
 ms and monotone rearrangement on averaging classes_\n\nWe will discuss int
 egral extremal problems on the so-called averaging\nclasses of functions\,
  meaning classes defined in terms of averages of\ntheir elements\, such as
  BMO\, VMO\, and Muckenhoupt weights. A typical\nextremal problem we consi
 der involves an integral inequality\, such as\nthe John--Nirenberg inequal
 ity for BMO. One common way to formulate\nsuch questions is using Bellman 
 functions. It turns out that such\nBellman functions are solutions to spec
 ific boundary value problems\,\nformulated in terms of convex geometry. We
  will also discuss the\nmonotone rearrangement operator acting on the aver
 aging classes\, which\narises naturally in this context and is useful when
  solving extremal\nproblems.\n\nMC 5417
DTSTAMP:20260504T015241Z
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