2018/03/05 by Jamilson R. Campos, Campos, Jamilson R., Joedson Santos +1
Mathematics · #46B45 #47B10 #47L20 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:46B45 #msc:47B10 #msc:47L20
paper · pdf · doi:10.48550/arxiv.1803.01718
15 pages
arxiv created 2018/03/05 · openalex publication_date 2018/03/05 · arxiv updated 2018/03/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The notion of mid p-summable sequences was introduced by Karn and Sinha in 2014 and recently explored and expanded by Botelho, Campos and Santos in 2017. In this paper we design a theory of mid summable sequences in the anisotropic setting defining a new more general space called space of mid (q,p)-summable sequences. As a particular case of our results, we prove an inclusion relation between spaces of mid summable sequences. We also define classes of operators that deals with this new space, the mid (q,p)-summing operators, and prove some important results on these classes as inclusion and coincidence theorems and a Pietsch Domination-type theorem. It is worth to mentioning that these abovementioned results are new even in the particular case of the mid p-summable environment.