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Here are my questions.

  • Are $L^\infty$ functions of bounded variation?
  • Is the composition of two BV functions still of bounded variation?
  • Is $x\mapsto \frac 1{f(x)}$ of bounded variation when $f$ is of bounded variation?

Cheers.

  • 1
    What do you think about these problems?2012-10-11
  • 0
    Here are your answers: no, no, no.2012-10-11

1 Answers 1