Paper task 5 "statement of main results"

[JasperMS]

This is a first draft for paper task 5. I have made an attempt to make the TeX work, but toolchain issues prevent me from fully validating that it builds. Apologies for any inconvenience.

Before putting more work into cleaning it up and a nice exposition, it would be nice to know if we are on the same page for what the 'main results' actually are.

I took it to mean:

• metric space Carleson
• linearised variant
• two-sided variant

and also included:

• classical Carleson
• the specific 'real Carleson' instance used to make the derivation

In order to properly state everything I included a section with the definitions.

If anything else should be added, or something removed, please let me know.

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I created a Zulip thread #Carleson > Paper: statement of main results (task 5) for easier discussion.