Reverse Hölder Property for Strong Weights and General Measures
نویسندگان
چکیده
منابع مشابه
Reverse Hölder Property for Strong Weights and General Measures
We present dimension-free reverse Hölder inequalities for strong Ap weights, 1 ≤ p < ∞. We also provide a proof for the full range of local integrability of A1 weights. The common ingredient is a multidimensional version of Riesz’s “rising sun” lemma. Our results are valid for any nonnegative Radon measure with no atoms. For p =∞, we also provide a reverse Hölder inequality for certain product ...
متن کاملReverse Hölder Inequalities and Approximation Spaces
We develop a simple geometry free context where one can formulate and prove general forms of Gehring's Lemma. We show how our result follows from a general inverse type reiteration theorem for approximation spaces. 2001 Academic Press
متن کاملA strong log-concavity property for measures on Boolean algebras
We introduce the antipodal pairs property for probability measures on finite Boolean algebras and prove that conditional versions imply strong forms of log-concavity. We give several applications of this fact, including improvements of some results of Wagner [15]; a new proof of a theorem of Liggett [9] stating that ultra-log-concavity of sequences is preserved by convolutions; and some progres...
متن کاملExistence results for equilibrium problems under strong sign property
This paper concerns equilibrium problems in real metric linear spaces. Considering a modified notion of upper sign property for bifunctions, we obtain the relationship between the solution sets of the local Minty equilibrium problem and the equilibrium problem, where the technical conditions on $f$ used in the literature are relaxed. The KKM technique is used to generalize and unify some exist...
متن کاملAncient Greek weights and measures
Moreover, the comparative study of prices in Egypt and even in parts of Egypt (a nome, a toparchy, a village) is rendered very difficult by many peculiar circumstances. This is true, for example, of the prices of such a basic commodity as grain. In the statistical lists compiled by modern scholars the price of grain is shown per artaba, as if the artaba were a constant measure. In fact, as has ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Journal of Geometric Analysis
سال: 2016
ISSN: 1050-6926,1559-002X
DOI: 10.1007/s12220-016-9678-y