Nörlund and weighted mean matrices as operators on \(\ell_ p\)

DOI10.1216/RMJM/1181073159zbMath0712.47023OpenAlexW2003189900MaRDI QIDQ748842

Frank P. Cass, Werner Kratz

Publication date: 1990

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181073159

zbMATH Keywords

Nörlund matrixweighted mean matrixAsymptotic properties of the norms of the operatorsBK-spacelogarithmic-exponential function

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Rate of growth of functions, orders of infinity, slowly varying functions (26A12)

Related Items (4)

Norm inequalities which yield inclusion for Euler sequence spaces ⋮ On Hardy q-inequalities ⋮ Bounds for the operator norms of some Nörlund matrices ⋮ A note on Hardy-type inequalities

Cites Work

• Nörlund matrices as bounded operators on \(\ell_ p\)
• Matrix operators on \(\ell^p\)
• The Tauberian theorems which interrelate different Riesz means
• SOME ELEMENTARY INEQUALITIES, III

This page was built for publication: Nörlund and weighted mean matrices as operators on \(\ell_ p\)