Complement to the Holder inequality for multiple integrals. II

نویسندگان

چکیده

This article is the second and final part of author’s work published in previous issue journal. The main result statement that if for functions (...) , where m 2 numbers p1,...,pm ∈ (1, +∞] are such 1/p1 + ... 1/pm < 1 “non-resonant” condition fulfilled (the concept introduced by author from spaces L^p(R^n), p +∞]), then: (...), [a, b] - n-dimensional parallelepiped, constant C > 0 does not depend on (...),1(...)k(...)m some specially constructed normalized spaces. In addition, terms fulfillment non-resonant condition, paper gives a test boundedness integral product when integrating over subset R^n.

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ژورنال

عنوان ژورنال: ??????? ?????-?????????????? ????????????

سال: 2022

ISSN: ['1811-9905', '2542-2251']

DOI: https://doi.org/10.21638/spbu01.2022.404