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SUMMARY:Marco Fraccaroli (Universität Bonn)
DTSTART:20210519T160000Z
DTEND:20210519T170000Z
DTSTAMP:20260423T052710Z
UID:HAeS/16
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HAeS/16/">Du
 ality for outer $L^p$ spaces</a>\nby Marco Fraccaroli (Universität Bonn) 
 as part of Harmonic analysis e-seminars\n\n\nAbstract\nThe theory of $L^p$
  spaces for outer measures\, or outer $L^p$ spaces\, was\ndeveloped by Do 
 and Thiele to encode the proof of boundedness of certain\nmultilinear oper
 ators in a streamlined argument. Accordingly to this\npurpose\, the theory
  was developed in the direction of the real\ninterpolation features of the
 se spaces\, while other questions remained\nuntouched.\nFor example\, the 
 outer $L^p$ spaces are defined by quasi-norms\ngeneralizing the classical 
 mixed $L^p$ norms on sets with a Cartesian\nproduct structure. Therefore\,
  it is natural to ask whether in arbitrary\nsettings the outer $L^p$ quasi
 -norms are equivalent to norms. In this\ntalk\, we will answer this questi
 on\, with a particular focus on certain\nsettings on the upper half space 
 $\\R^d \\times (0\,\\infty)$ related to the\nwork of Do and Thiele.\n
LOCATION:https://researchseminars.org/talk/HAeS/16/
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