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14 papers · 1 filter
A framework for non-homogeneous analysis on metric spaces, and the RBMO space of Tolsa
Tuomas P. Hytönen
A new class of metric measure spaces is introduced and studied. This class generalises the well-established doubling metric measure spaces as well as the spaces (R^n,mu) with mu(B(…
Holomorphic functional calculus of Hodge-Dirac operators in Lp
Tuomas Hytonen, Alan McIntosh, Pierre Portal
We study the boundedness of the functional calculus for differential operators acting in (L^{p}(\mathbb{R}^{n};\mathbb{C}^{N})). For constant coefficients, we give sim…
Uniformly convex-transitive function spaces
Fernando Rambla-Barreno, Jarno Talponen
We introduce a property of Banach spaces called uniform convex-transitivity, which falls between almost transitivity and convex-transitivity. We will provide examples of uniformly…
Wavelet expansions for weighted, vector-valued BMO functions
Tuomas Hytönen, Oscar Salinas, Beatriz Viviani
We introduce a scale of weighted Carleson norms, which depend on an integrability parameter p, where p=2 corresponds to the classical Carleson measure condition. Relations between…
The Banach space -valued BMO, Carleson's condition, and paraproducts
Tuomas Hytönen, Lutz Weis
We define a scale of L^q Carleson norms, all of which characterize the membership of a function in BMO. The phenomenon is analogous to the John-Nirenberg inequality, but on the lev…
Lindelof type of generalization of separability in Banach spaces
Jarno Talponen
We will introduce the countable separation property (CSP) of Banach spaces X, which is defined as follows: For each subset \mathcal{F} of X^{\ast}, which separates X, there exists…