D. Rutsky

activity

20122018

collaborators

3 papers

math.FA2018

Real interpolation of Hardy-type spaces and BMO-regularity

Dmitry V. Rutsky

Let $(X, Y)$ be a couple of quasi-Banach lattices of measurable functions on $T \times Ω$ satisfying some additional assumptions. The K-closedness of a couple of Hardy-type…

math.FA2013

Complex interpolation of couple (X, BMO) for $A_{1}$ -regular lattices

Dmitry Rutsky

Recent results of A. Lerner concerning certain properties of the Fefferman-Stein maximal function are applied to show that $(\BMO, X)_θ= X^θ$, $0 < θ < 1$ , for a Banach lattice $X$ …

math.FA2012

Remarks on the Riesz-Kantorovich formula

Dmitry V. Rutsky

The Riesz-Kantorovich formula expresses (under certain assumptions) the supremum of two operators $S, T : X \to Y$ where $X$ and $Y$ are ordered linear spaces as $$ S \vee T (x) =…

Real interpolation of Hardy-type spaces and BMO-regularity

Complex interpolation of couple (X, BMO) for A1​-regular lattices

Remarks on the Riesz-Kantorovich formula

Complex interpolation of couple (X, BMO) for $A_{1}$ -regular lattices