12 citations · 59 across the 20 of their papers we have counts for
21 papers
Diagonal operators on Janson-Sobolev and Janson-Sobolev-Hardy spaces
Krystian Kazaniecki, Richard Lechner
We study the Banach space and operator factorization structure of Janson-Sobolev and Janson-Sobolev-Hardy spaces. This new class of martingale spaces is determined by a -adic fi…
Factorization in Haar system Hardy spaces
Richard Lechner, Thomas Speckhofer
A Haar system Hardy space is the completion of the linear span of the Haar system , either under a rearrangement-invariant norm or under the associated square…
Multipliers on bi-parameter Haar system Hardy spaces
Richard Lechner, Pavlos Motakis, Paul F. X. Müller +1
Let denote the standard Haar system on , indexed by , the set of dyadic intervals and denote the tensor product $(s,t)\mapsto h_I(s…
Factorisation in stopping-time Banach spaces: identifying unique maximal ideals
Tomasz Kania, Richard Lechner
Stopping-time Banach spaces is a collective term for the class of spaces of eventually null integrable processes that are defined in terms of the behaviour of the stopping times wi…
The space is primary for
Richard Lechner, Pavlos Motakis, Paul F. X. Müller +1
The classical Banach space consists of measurable scalar functions on the unit square for which $$\|f\| = \int_0^1\Big(\int_0^1 |f(x,y)|^p dy\Big)^{1/p}dx < \infty.$…
Subsymmetric bases have the factorization property
Richard Lechner
We show that every subsymmetric Schauder basis of a Banach space has the factorization property, i.e. factors through every bounded operator with…