77 citations · 243 across the 38 of their papers we have counts for
4 papers · 2 filters
Sharp weighted norm estimates beyond Calderón-Zygmund theory
Frédéric Bernicot, Dorothee Frey, Stefanie Petermichl
We dominate non-integral singular operators by adapted sparse operators and derive optimal norm estimates in weighted spaces. Our assumptions on the operators are minimal and our r…
Sharp estimates for discrete second order {R}iesz transforms
Komla Domelevo, Stefanie Petermichl
We show that multipliers of second order Riesz transforms on products of discrete abelian groups enjoy the estimate , where and $p…
A linear dimensionless bound for the weighted Riesz vector
Komla Domelevo, Stefanie Petermichl, Janine Wittwer
We show that the norm of the vector of Riesz transforms as operator in the weighted Lebesgue space L^2(w) is bounded by a constant multiple of the first power of the Poisson-A_2 ch…
Higher order Journe commutators and characterizations of multi-parameter BMO
Yumeng Ou, Stefanie Petermichl, Elizabeth Strouse
We consider iterated commutators of multiplication by a symbol function and tensor products of Hilbert or Riesz transforms. We establish mixed BMO classes of symbols that character…