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On grand Lebesgue spaces on sets of infinite measure
Author(s) -
Samko Stefan,
Umarkhadzhiev Salaudin
Publication year - 2017
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201600136
Subject(s) - mathematics , lp space , lebesgue measure , measure (data warehouse) , pure mathematics , lebesgue's number lemma , interpolation space , standard probability space , lebesgue integration , mathematical analysis , riemann integral , banach space , functional analysis , operator theory , fourier integral operator , computer science , biochemistry , chemistry , database , gene
We consider grand Lebesgue spaces on sets of infinite measure and study the dependence of these spaces on the choice of the so‐called. We also consider Mikhlin and Marcinkiewicz theorems on Fourier multipliers in the setting of grand spaces.