Strong maximal functions defined by monomial inequalities. Diagonal estimates for the Bergman kernel in some non-diagonalizable domains

speaker: Alexander Nagel (University of Wisconsin-Madison)

abstract: We study the maximal function relative to a multi-parameter family of sets defined by monomial inequalities.

Diagonal estimates for the Bergman kernel in some non-diagonalizable domain

We obtain uniform estimates for the Bergman kernel on the diagonal in some non-diagonalizable domains including the "cross of iron".

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