We study the higher integrability of weights satisfying a reverse Hölder inequality (f I u β) 1 β ≤ B (f I u α) 1 α for some B > 1 B>1 and given α < β, in the limit cases when α { - ∞, 0 } { 0, + ∞ }. The results apply to the Gehring and Muckenhoupt weights and their corresponding limit classes.
Higher integrability and reverse Hölder inequalities in the limit cases / Popoli, Arturo. - In: GEORGIAN MATHEMATICAL JOURNAL. - ISSN 1072-947X. - 29:1(2022), pp. 109-121. [10.1515/gmj-2021-2116]
Higher integrability and reverse Hölder inequalities in the limit cases
Popoli, Arturo
2022
Abstract
We study the higher integrability of weights satisfying a reverse Hölder inequality (f I u β) 1 β ≤ B (f I u α) 1 α for some B > 1 B>1 and given α < β, in the limit cases when α { - ∞, 0 } { 0, + ∞ }. The results apply to the Gehring and Muckenhoupt weights and their corresponding limit classes.File in questo prodotto:
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