Discrete analogue of generalized Hardy spaces and multiplication operators on homogenous trees

DOI10.1007/s13324-016-0141-9OpenAlexW3102231481MaRDI QIDQ1682231

Perumal Muthukumar, Saminathan Ponnusamy

Publication date: 29 November 2017

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.03473

zbMATH Keywords

Lipschitz spacemultiplication operatorsgeneralized Hardy spacesrooted homogeneous tree

Mathematics Subject Classification ID

Trees (05C05) Linear operators on function spaces (general) (47B38) Compactness in Banach (or normed) spaces (46B50) Nonseparable Banach spaces (46B26)

Related Items (8)

Weighted composition operators on discrete weighted Banach spaces ⋮ Multiplication operators between iterated logarithmic Lipschitz spaces of a tree ⋮ Composition operators on the discrete analogue of generalized Hardy space on homogenous trees ⋮ Composition operators on Hardy spaces of the homogenous rooted trees ⋮ Discrete Cesaro operator between weighted Banach spaces on homogenous trees ⋮ Weighted composition operators between weighted Hardy spaces on rooted trees ⋮ Composition operators on weighted Banach spaces of a tree ⋮ Hypercyclicity of composition operators on discrete weighted Banach spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multiplication operators between Lipschitz-type spaces on a tree
• Multiplication operators on the Lipschitz space of a tree
• Composition operators and multiplication operators on weighted spaces of analytic functions
• Composition operators and classical function theory
• The Green formula and \(H^ p\) spaces on trees
• Analytic Toeplitz operators on the Hardy space \(H^p\): A survey
• Multiplication operators between the Lipschitz space and the space of bounded functions on a tree
• Multiplication operators on the iterated logarithmic Lipschitz spaces of a tree
• Composition operators on the Lipschitz space of a tree
• On characterizations of Bloch-type, Hardy-type and Lipschitz-type spaces
• A survey of H^p multipliers as related to classical function theory
• Multiplication operators on the weighted Lipschitz space of a tree
• Multiplicative Isometries and Isometric Zero-Divisors
• A Primer on the Dirichlet Space
• Function classes on the unit disc. An introduction

This page was built for publication: Discrete analogue of generalized Hardy spaces and multiplication operators on homogenous trees