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Generalized Ces à ro-type operator acting between Bloch type spaces | Authorea try { document.documentElement.classList.add('js'); } catch (e) { } var _gaq = _gaq || []; _gaq.push(['_setAccount', 'G-8VDV14Y67G']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); Skip to main content Preprints Collections Wiley Open Research IET Open Research Ecological Society of Japan All Collections About About Authorea FAQs Contact Us Quick Search anywhere Search for preprint articles, keywords, etc. Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed. Data may be preliminary. 11 March 2025 V1 Latest version Share on Generalized Ces à ro-type operator acting between Bloch type spaces Authors : Huiling Chen and Shanli Ye 0000-0002-5264-5738 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.174170894.46150981/v1 118 views 124 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract Let µ be a positive Borel measure on the interval [0 , 1) and µ n denote the n -th moment of the measure µ , that is, µ n = ∫ [ 0, 1 ) t n d µ ( t ) . For 0 ∞, the generalized Ces a ̀ ro-type operator C µ, γ is defined by C µ, γ ( f ) ( z ) = ∑ n = 0 ∞ ( µ n ∑ k = 0 n Γ ( n − k + γ ) Γ ( γ )( n − k )! a k ) z n, z ∈ D where f ( z ) = ∑ n = 0 ∞ a n z n is an analytic function in D. This article is devote to study the measures µ for which C µ, γ is a bounded (resp., compact) operator from the Bloch type space B α ( 0 < α < ∞ ) into B β . Supplementary Material File (generalized cesaro-like operatoracting between bloch type spaces (1).pdf) Download 139.21 KB Information & Authors Information Version history V1 Version 1 11 March 2025 Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords bloch type spaces carleson measures generalized cesàro-like operators Authors Affiliations Huiling Chen Zhejiang University of Science and Technology View all articles by this author Shanli Ye 0000-0002-5264-5738 [email protected] Zhejiang University of Science and Technology View all articles by this author Metrics & Citations Metrics Article Usage 118 views 124 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Huiling Chen, Shanli Ye. Generalized Ces à ro-type operator acting between Bloch type spaces. Authorea . 11 March 2025. 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