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$L^{2}$ -estimates for the $d$ -equation and Witten’s proof of the Morse inequalities

Bo Berndtsson (2007)

Annales de la faculté des sciences de Toulouse Mathématiques

This is an introduction to Witten’s analytic proof of the Morse inequalities. The text is directed primarily to readers whose main interest is in complex analysis, and the similarities to Hörmander’s $L^{2}$ -estimates for the $\bar{\partial}$ -equation is used as motivation. We also use the method to prove $L^{2}$ -estimates for the $d$ -equation with a weight $e^{- t φ}$ where $φ$ is a nondegenerate Morse function.

Langenhop's inequality and applications for dynamic equations.

Kaymakçalan, B., Zafer, A. (2007)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

Littlewood's inequality for $p$ -bimeasures.

Towghi, Nasser (2002)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Displaying 1 – 3 of 3

L 2 -estimates for the d -equation and Witten’s proof of the Morse inequalities

Langenhop's inequality and applications for dynamic equations.

Littlewood's inequality for p -bimeasures.

Currently displaying 1 – 3 of 3

$L^{2}$ -estimates for the $d$ -equation and Witten’s proof of the Morse inequalities

Littlewood's inequality for $p$ -bimeasures.