Sobolev Regularity for Maximal Operators

Sobolev Regularity for Maximal Operators

Hausdorff Center for Mathematics via YouTube Direct link

Progress over last years: dimension d 1

8 of 16

8 of 16

Progress over last years: dimension d 1

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Classroom Contents

Sobolev Regularity for Maximal Operators

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  1. 1 Intro
  2. 2 An illustration
  3. 3 A basic idea...
  4. 4 A deceiving question
  5. 5 The Hardy-Littlewood maximal operator
  6. 6 Sobolev regularity
  7. 7 Progress over last years: dimension d = 1
  8. 8 Progress over last years: dimension d 1
  9. 9 Maximal functions of convolution type
  10. 10 Fractional Hardy-Littlewood maximal operator
  11. 11 Discrete analogues
  12. 12 Strategy outline
  13. 13 Progress in higher dimensions
  14. 14 Continuity
  15. 15 Clarifying the questions - continuous cases
  16. 16 Kernels

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