2 citations · 3 across the 3 of their papers we have counts for
6 papers
Boundedness of some multi-parameter fiber-wise multiplier operators
Frédéric Bernicot, Polona Durcik
We prove estimates for various multi-parameter bi- and trilinear operators with symbols acting on fibers of the two-dimensional functions. In particular, this yields estimate…
Directional maximal function along the primes
Laura Cladek, Polona Durcik, Ben Krause +1
We study a two-dimensional discrete directional maximal operator along the set of the prime numbers. We show existence of a set of vectors, which are lattice points in a sufficient…
Singular Brascamp-Lieb: a survey
Polona Durcik, Christoph Thiele
We present an overview of results on multi-linear singular integrals in the broader context of Brascamp-Lieb inequalities. This elaborates a lecture given at the inspiring conferen…
Averages of simplex Hilbert transforms
Polona Durcik, Joris Roos
We study a multilinear singular integral obtained by taking averages of simplex Hilbert transforms. This multilinear form is also closely related to Calderón commutators and the tw…
Singular Brascamp-Lieb inequalities with cubical structure
Polona Durcik, Christoph Thiele
We prove a singular Brascamp-Lieb inequality, stated in Theorem 1, with a large group of involutive symmetries.
estimates for a singular entangled quadrilinear form
Polona Durcik
We prove estimates for a continuous version of a dyadic quadrilinear form introduced by Kovač in [6]. This improves the range of exponents from the prequel [3] of the present…