Our aim is to give a characterization of the BMO norm via Banach function spaces based on the Rubio de Francia algorithm. Our proof is different from the one by Ho [Atomic decomposition of Hardy spaces and characterization of BMO via Banach function spaces, Anal. Math. 38 (2012), 173–185].

In this paper, we give a new proof of a result of R. Jones showing almost everywhere convergence of spherical means of actions of R on L(X)-spaces are convergent for d ≥ 3 and p > d d− 1 . This is done by adapting the proof of the spherical maximal theorem by Rubio de Francia so as to obtain directly the ergodic theorem.

In order to help readers stay up-to-date in the field, each issue of Progress Photovoltaics will contain a list recently published journal articles that are most relevant its aims and scope. This is drawn from an extremely wide range journals, including IEEE Journal Photovoltaics, Solar Energy Materials Cells, Renewable Energy, Sustainable Reviews, Applied Physics, Physics Letters. To assist re...

The author investigates Russian federalism and the constitutional underpinnings of the power vertical, looking specifically at the Constitutional Court’s December 2005 case about the appointment of governors. The court’s decision upheld the constitutional notion of a “unified system of executive power” as the primary legal justification for the power vertical. However, not all of the justices a...