5 citations · 11 across the 9 of their papers we have counts for
10 papers
On the Hausdorff dimension of the difference sets between typical and normal numbers
Bill Mance, Jakub Tomaszewski
We study the Hausdorff dimension of the difference sets between the set of typical numbers, defined via the Erdős--Rényi law governing the longest run of digits, and the set of num…
A few last words on pointwise multipliers of Calderón--Lozanovskiĭ spaces
Tomasz Kiwerski, Jakub Tomaszewski
We will provide a complete description of the space of pointwise multipliers between two Calderón--Lozanovskiĭ spaces and built upon a rearrangement invari…
Arithmetic, interpolation and factorization of amalgams
Tomasz Kiwerski, Jakub Tomaszewski
Building upon Bennett's and Grosse-Erdmann's ideas falling under the conceptual umbrella of factorization of inequalities, we propose a unified approach towards the structure of ce…
Essential norms of pointwise multipliers in the non-algebraic setting
Tomasz Kiwerski, Jakub Tomaszewski
Motivated by some recent results, but also referring to recognized classics, we compute the essential norm and the weak essential norm of multiplication operators acting between tw…
Borel complexity of the set of typical numbers
Jakub Tomaszewski
In the present note we study the interrelations between the sets of so-called typical numbers and numbers that are normal in base two. Employing results by Nakai and Shiokawa, we e…
Quotients, and abstract Cesàro spaces
Tomasz Kiwerski, Paweł Kolwicz, Jakub Tomaszewski
Investigating some re-arrangement properties of the norm in the quotient spaces we determine the properties of the spaces guaranteeing the existence of a lattice isomet…