10 papers
Square function characterization of Hardy-type spaces
Evgeny Abakumov, Evgueni Doubtsov, Dmitry Rutsky
The well-known characterization of Hardy spaces , , in terms of the Littlewood-Paley g-function $$ S f (ζ) = \left(\int_0^1 |f' (r ζ)|^2…
Compact linear combinations of composition operators on Hardy spaces
Evgueni Doubtsov, Dmitry V. Rutsky
Let , , be holomorphic self-maps of the unit disk of . We prove that the compactness of a linear combination of the composition opera…
Real interpolation of Hardy-type spaces and BMO-regularity
Dmitry V. Rutsky
Let be a couple of quasi-Banach lattices of measurable functions on satisfying some additional assumptions. The K-closedness of a couple of Hardy-type…
Corona problem with data in ideal spaces of sequences
Dmitry V. Rutsky
Let be a Banach lattice on having order continuous norm. We show that for any function from the Hardy space such that…
-regularity and boundedness of Calderón-Zygmund operators. II
Dmitry V. Rutsky
A proof is given for the "only if" part of the result stated in the previous paper of the series that a suitably nondegenerate Calderón-Zygmund operator is bounded in a Banach…
On K-closedness, BMO-regularity and real interpolation of Hardy-type spaces
Dmitry V. Rutsky
Let be a suitable couple of quasi-Banach lattices of measurable functions on , and let be the couple of the corresponding Hardy-type space…