Establishes L_p Brunn-Minkowski inequalities for weighted dual quermassintegrals with concavity exponent 1/q for p≥1 under log-concavity of log φ(e^t), improving the standard 1/n exponent.
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3 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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2026 3verdicts
UNVERDICTED 3representative citing papers
Defines canonical Blaschke operations on log-concave functions and derives associated affine isoperimetric inequalities plus Kneser-Süss-type results.
Proves dimensional Brunn-Minkowski inequality for even log-concave measures with c_n ≥ c/(n^3 ln n) and shows Γ_n ≈ n for maximal functional perimeter of isotropic log-concave measures.
citing papers explorer
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$L_p$ Brunn-Minkowski inequality for weighted dual quermassintegrals
Establishes L_p Brunn-Minkowski inequalities for weighted dual quermassintegrals with concavity exponent 1/q for p≥1 under log-concavity of log φ(e^t), improving the standard 1/n exponent.
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Blaschke operations on log-concave functions and affine isoperimetric inequalities
Defines canonical Blaschke operations on log-concave functions and derives associated affine isoperimetric inequalities plus Kneser-Süss-type results.
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Functional perimeter and the dimensional Brunn-Minkowski inequality for log-concave measures
Proves dimensional Brunn-Minkowski inequality for even log-concave measures with c_n ≥ c/(n^3 ln n) and shows Γ_n ≈ n for maximal functional perimeter of isotropic log-concave measures.