110 citations · 529 across the 44 of their papers we have counts for
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Two-weight - bounds for positive dyadic operators: unified approach to and
Timo S. Hänninen, Tuomas P. Hytönen, Kangwei Li
We characterize the boundedness of positive dyadic operators of the form and the $L^{p_1}(σ_1)…
Operator-valued dyadic shifts and the T(1) theorem
Timo S. Hänninen, Tuomas P. Hytönen
In this paper we extend dyadic shifts and the dyadic representation theorem to an operator-valued setting: We first define operator-valued dyadic shifts and prove that they are bou…
Weak A_\infty weights and weak Reverse Hölder property in a space of homogeneous type
Theresa C. Anderson, Tuomas Hytönen, Olli Tapiola
In the Euclidean setting, the Fujii-Wilson-type weights satisfy a Reverse Hölder Inequality (RHI) but in spaces of homogeneous type the best known result has been that $…
Bounds for partial derivatives: necessity of UMD and sharp constants
Alejandro J. Castro, Tuomas P. Hytönen
We prove the necessity of the UMD condition, with a quantitative estimate of the UMD constant, for any inequality in a family of bounds between different partial derivatives…
Bounded variation approximation of L_p dyadic martingales and solutions to elliptic equations
Tuomas Hytönen, Andreas Rosén
We prove continuity and surjectivity of the trace map onto , from a space of functions of locally bounded variation, defined by the Carleson functional. The extension map is c…