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dohmatob
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Disclaimer: Upon recommendation (in the comments), this post is just to close off the question, since it has been completely solvedanswered in the comments.


  • Indeed, as observed by user @Terry Tao in the comments, the question has a simple affirmative answer via the Riez rearrangment inequality.

  • Using this machinarymachinery, a more general question in $n$ dimensions is answered here https://mathoverflow.net/a/415754/78539, and the answer to my original question (on the real line) follows as an immediate corollary.

Disclaimer: Upon recommendation (in the comments), this post just to close off the question, since it has been completely solved in the comments.


  • Indeed, as observed by user @Terry Tao in the comments, the question has a simple affirmative answer via the Riez rearrangment inequality.

  • Using this machinary, a more general question in $n$ dimensions is answered here https://mathoverflow.net/a/415754/78539, and the answer to my original question (on the real line) follows as an immediate corollary.

Disclaimer: Upon recommendation (in the comments), this post is just to close off the question, since it has been completely answered in the comments.


  • Indeed, as observed by user @Terry Tao in the comments, the question has a simple affirmative answer via the Riez rearrangment inequality.

  • Using this machinery, a more general question in $n$ dimensions is answered here https://mathoverflow.net/a/415754/78539, and the answer to my original question (on the real line) follows as an immediate corollary.

Source Link
dohmatob
  • 6.9k
  • 1
  • 18
  • 76

Disclaimer: Upon recommendation (in the comments), this post just to close off the question, since it has been completely solved in the comments.


  • Indeed, as observed by user @Terry Tao in the comments, the question has a simple affirmative answer via the Riez rearrangment inequality.

  • Using this machinary, a more general question in $n$ dimensions is answered here https://mathoverflow.net/a/415754/78539, and the answer to my original question (on the real line) follows as an immediate corollary.