Non-similarity of Walsh and trigonometric systems
Volume 142 / 2000
Studia Mathematica 142 (2000), 171-185
DOI: 10.4064/sm-142-2-171-185
Abstract
We show that in $L_p$ for p ≠ 2 the constants of equivalence between finite initial segments of the Walsh and trigonometric systems have power type growth. We also show that the Riemann ideal norms connected with those systems have power type growth.