14,387 research outputs found
Commutators as Powers in Free Products of Groups
The ways in which a nontrivial commutator can be a proper power in a free
product of groups are identified.Comment: AMS-LaTex, 6 pages, no figure
Mixed commutators and little product BMO
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 characterize boundedness of these objects in . Little BMO and product BMO, big Hankel operators and iterated commutators are the base cases of our results. We use operator theoretical methods and existing profound results on iterated commutators for the Hilbert transform case, while the general result in several variables is obtained through the construction of a Journ\'e operator that models the behavior of the multiple Hilbert transform. Upper estimates for commutators with paraproduct free Journ\'e operators as well as weak factorisation results are proven
Commutators as Powers in Free Products of Groups
The ways in which a nontrivial commutator can be a proper power in a free product of groups are identifie
Commutators as Powers in Free Products of Groups
The ways in which a nontrivial commutator can be a proper power in a free product of groups are identifie
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