Bernstein functions and rates in mean ergodic theorems for operator semigroupsJournal d'Analyse Mathematique - - 2012
Alexander Gomilko, Markus Haase, Yuri Tomilov
We present a functional calculus approach to the study of rates of decay in mean ergodic theorems for bounded strongly continuous operator semigroups. A central role is played by operators of the form g(A, where −A is the generator of the semigroup and g is a Bernstein function. In addition, we obtain some new results on Bernstein functions which are of independent interest.
Uniform estimates on multi-linear operators with modulation symmetryJournal d'Analyse Mathematique - Tập 88 - Trang 255-309 - 2002
Camil Muscalu, Terence Tao, Christoph Thiele
In a previous paper [20] in this series, we gaveL
p estimates for multi-linear operators given by multipliers which are singular on a non-degenerate subspace of some dimensionk. In this paper, we give uniform estimates when the subspace approaches a degenerate region in the casek = 1, and when all the exponentsp are between 2 and ∞. In particular, we recover the non-endpoin...... hiện toàn bộ
Quasiconformal extension of biholomorphic mappings in several complex variablesJournal d'Analyse Mathematique - Tập 96 - Trang 269-282 - 2005
Hidetaka Hamada, Gabriela Kohr
Letf(z, t) be a subordination chain fort ∈ [0, α], α>0, on the Euclidean unit ballB inC
n. Assume thatf(z) =f(z, 0) is quasiconformal. In this paper, we give a sufficient condition forf to be extendible to a quasiconformal homeomorphism on a neighbourhood of
$$\bar B$$
. We also s...... hiện toàn bộ