4 papers
Three geometric constants for Morrey spaces
Hendra Gunawan, Eder Kikianty, Yoshihiro Sawano +1
In this paper we calculate three geometric constants, namely the von Neumann-Jordan constant, the James constant, and the Dunkl-Williams constant, for Morrey spaces and discrete Mo…
Series and power series on universally complete complex vector lattices
Mark Roelands, Christopher Schwanke
In this paper we prove an th root test for series as well as a Cauchy-Hadamard type formula and Abel's' theorem for power series on universally complete Archimedean complex vect…
Characterizing Bounded Orthogonally Additive Polynomials on Vector Lattices
Gerard Buskes, Christopher Schwanke
We derive formulas for characterizing bounded orthogonally additive polynomials in two ways. Firstly, we prove that certain formulas for orthogonally additive polynomials derived i…
The Hardy-Littlewood Maximal Operator on Discrete Morrey Spaces
Hendra Gunawan, Christopher Schwanke
We discuss the Hardy-Littlewood maximal operator on discrete Morrey spaces of arbitrary dimension. In particular, we obtain its boundedness on the discrete Morrey spaces using a di…