Weighted and boundary $$L^{p}$$Lp estimates for solutions of the $$\overline{\partial }$$∂¯-equation on lineally convex domains of finite type and applications
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DOI: 10.1007/s00209-017-2015-8
Abstract: We obtain sharp weighted estimates for solutions of the equation $$\overline{\partial }u=f$$∂¯u=f in a lineally convex domain of finite type. Precisely we obtain estimates in the spaces $$L^{p}(\Omega ,\delta ^{\gamma })$$Lp(Ω,δγ), $$\delta $$δ being the… read more here.
Keywords: finite type; overline partial; estimates solutions; convex domains ... See more keywords
Zeros Sets of Hp Functions in Lineally Convex Domains of Finite Type in ℂn$ \mathbb {C}^{n}$
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DOI: 10.1007/s40306-018-0284-x
Abstract: In this note, we extend N. Th. Varopoulos result on zero sets of Hp functions of strictly pseudo-convex domains in ℂn$\mathbb {C}^{n}$ to lineally convex domains of finite type. read more here.
Keywords: finite type; convex domains; lineally convex; zeros sets ... See more keywords