A pointwise norm on a non-reduced analytic space

Andersson, Mats

doi:10.1016/j.jfa.2022.109520

Journal of Functional Analysis

2022

DOI: 10.1016/j.jfa.2022.109520

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A pointwise norm on a non-reduced analytic space

Mats Andersson

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2024

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Cited by 2 publications

References 30 publications

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Norm Estimates for the $$\bar{\partial }$$-Equation on a Non-reduced Space

Andersson

Lärkäng

2023

J Geom Anal

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We study norm-estimates for the $$\bar{\partial }$$ ∂ ¯ -equation on non-reduced analytic spaces. Our main result is that on a non-reduced analytic space, which is Cohen–Macaulay and whose underlying reduced space is smooth, the $$\bar{\partial }$$ ∂ ¯ -equation for (0, 1)-forms can be solved with $$L^p$$ L p -estimates.

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Norm Estimates for the $$\bar{\partial }$$-Equation on a Non-reduced Space

Andersson

Lärkäng

2023

J Geom Anal

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Lp-estimates of extensions of holomorphic functions defined on a non-reduced subvariety

Andersson¹

2024

Annales De l'Institut Fourier

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Let D be a strictly pseudoconvex domain in C N and X a puredimensional non-reduced subvariety that behaves well at ∂D. We provide L pestimates of extensions of holomorphic functions defined on X.Résumé. -Soit D un domaine strictement pseudo-convexe de C N et X une sous-variété non réduite qui se comporte bien en ∂D. Nous donnons des estimations L p des extensions de fonctions holomorphes sur X.

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A pointwise norm on a non-reduced analytic space

Cited by 2 publications

References 30 publications

Norm Estimates for the $$\bar{\partial }$$-Equation on a Non-reduced Space

Norm Estimates for the $$\bar{\partial }$$-Equation on a Non-reduced Space

Lp-estimates of extensions of holomorphic functions defined on a non-reduced subvariety

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