Transference of Strong Type Maximal Inequalities by Separation-Preserving Representations

DOI10.2307/2374821zbMath0729.43003OpenAlexW2320862511MaRDI QIDQ3353565

T. Alastair Gillespie, Earl Berkson, Nakhlé H. Asmar

Publication date: 1991

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374821

zbMATH Keywords

maximal operatormultiplierslocally compact abelian groupconvolution operatorsweak type estimatesstrongly continuous representation

Mathematics Subject Classification ID

Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items

When is a separating map biseparating? ⋮ On Jodeit's multiplier extension theorems ⋮ Maximal estimates on measure spaces for weak-type multipliers ⋮ On a vector-valued Hopf-Dunford-Schwartz lemma ⋮ Multipliers which are not completely bounded ⋮ Pointwise ergodic theorems for bounded Lamperti representations of amenable groups ⋮ Dominated and pointwise ergodic theorems with ``weighted averages for bounded Lamperti representations of amenable groups ⋮ $L^p(\mathbb{R}^n)$-dimension free estimates of the Riesz transforms ⋮ Maximal ergodic inequalities for some positive operators on noncommutative Lp$L_p$‐spaces ⋮ Maximal ergodic inequalities for Banach function spaces ⋮ Strong \(q\)-variation inequalities for analytic semigroups ⋮ Distributional control and generalized analyticity ⋮ On the almost everywhere convergence of ergodic averages for power- bounded operators on \(L^ p\) subspaces ⋮ New results on restriction of Fourier multipliers