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math.CA2024
On trilinear singular Brascamp-Lieb integrals
Lars Becker, Polona Durcik, Fred Yu-Hsiang Lin
We classify all trilinear singular Brascamp-Lieb forms, completing the classification in the two dimensional case by Demeter and Thiele in arXiv:0803.1268. We use known results in…
math.CA2024
Sharp isoperimetric inequalities on the Hamming cube near the critical exponent
Polona Durcik, Paata Ivanisvili, Joris Roos
An isoperimetric inequality on the Hamming cube for exponents is proved, achieving equality on any subcube. This was previously known for $β\ge \log_2(3/2)\approx 0.…
math.FA2024
Dimension-free estimates for low degree functions on the Hamming cube
Komla Domelevo, Polona Durcik, Valentia Fragkiadaki +4
The main result of this paper are dimension-free inequalities, , for low degree scalar-valued functions on the Hamming cube. More precisely, for any $\vare…