An anisotropic summability and mixed sequences

نویسندگان

چکیده

In this paper we define and study a vector-valued sequence space, called the space of anisotropic (s, q, r)-summable sequences, that generalizes classical (s; q)-mixed sequences (or mixed q)-summable sequences). Furthermore, two classes linear operators involving new one them class q) -mixed due A. Pietsch. Some characterizations, inclusion results Pietsch domination-type theorem are presented for these classes. It is worth mentioning some even in particular cases summable summing operators.

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ژورنال

عنوان ژورنال: Revista Matematica Complutense

سال: 2023

ISSN: ['1696-8220', '1139-1138', '1988-2807']

DOI: https://doi.org/10.1007/s13163-022-00450-1