HARDY INEQUALITIES UNDER SOME NON-CONVEXITY MEASURES
نویسندگان
چکیده
منابع مشابه
Vector–valued Hardy Inequalities and B–convexity
Inequalities of the form ∑∞ k=0 |f̂(mk)| k+1 ≤ C ‖f‖1 for all f ∈ H1, where {mk} are special subsequences of natural numbers, are investigated in the vector-valued setting. It is proved that Hardy’s inequality and the generalized Hardy inequality are equivalent for vector valued Hardy spaces defined in terms of atoms and that they actually characterize B-convexity. It is also shown that for 1 < ...
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ژورنال
عنوان ژورنال: Taiwanese Journal of Mathematics
سال: 2013
ISSN: 1027-5487
DOI: 10.11650/tjm.17.2013.2023