Open AccessEXPONENTIAL INTEGRABILITY FOR LOGARITHMIC POTENTIALS OF FUNCTIONS IN GENERALIZED LEBESGUE SPACES $L(\log L)^{q(\cdot)}$ OVER NON-DOUBLING MEASURE SPACES
Author(s) -
Sachihiro Kanemori,
Takao Ohno,
Tetsu Shimomura
Publication year - 2015
Publication title -
taiwanese journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.529
H-Index - 46
eISSN - 2224-6851
pISSN - 1027-5487
DOI - 10.11650/tjm.19.2015.5564
Subject(s) - mathematics , logarithm , measure (data warehouse) , lebesgue measure , exponential function , lp space , standard probability space , lebesgue integration , pure mathematics , mathematical analysis , banach space , database , computer science
In this paper, we are concerned with exponential integrability for logarithmic potentials of functions in generalized Lebesgue spaces $L(\log L)^{q(\cdot)}$ over non-doubling measure spaces. Here $q$ satisfies the loglog-Holder condition.
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