Estimates $ L^{r}-L^{s}$ for solutions of the $\bar \partial $ equation in strictly pseudo convex domains in ${\mathbb{C}}^{n}.$

The result in the case Lr-Ls were known, thank to the referee, even in the case of q-convex domains. But here the method is different and we get the BMO and Lipschitz estimates.

Data and Resources

Additional Info

Field Value
Source https://hal.science/hal-00922356
Author Amar, Eric
Maintainer CCSD
Last Updated May 7, 2026, 06:39 (UTC)
Created May 7, 2026, 06:39 (UTC)
Identifier hal-00922356
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Institut de Mathématiques de Bordeaux (IMB) ; Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)
creator Amar, Eric
date 2013-12-07T00:00:00
harvest_object_id fadda1e9-2dca-4252-93a0-2d761f6a626f
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2025-03-17T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/1312.7136
set_spec type:UNDEFINED