Estimates for integral kernels of mixed type, fractional integration operators, and optimal estimates for the \(\overline\partial\) operator

DOI10.1007/BF01305989zbMath0417.35057MaRDI QIDQ755052

Steven G. Krantz

Publication date: 1979

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154672

zbMATH Keywords

integral kernelbounded mean oscillationstrongly pseudoconvex domaindelta-Neumann problemestimates on manifoldsHenkin solutionmixed integrals

Mathematics Subject Classification ID

Differential complexes (58J10) Pseudoconvex domains (32T99) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)

Related Items

Optimal Lipschitz estimates for the \(\bar\partial\) equation on a class of convex domains ⋮ Sobolev connections and holomorphic structures over Kähler surfaces

Cites Work

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• Structure and interpolation theorems for certain Lipschitz spaces and estimates for the \(\overline\partial\) equation
• The Caratheodory metric and holomorphic maps on a class of weakly pseudoconvex domains
• On functions of bounded mean oscillation
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
• Embedding Strictly Pseudoconvex Domains in Convex Domains
• On multipliers preserving convergence of trigonometric series almost everywhere
• Hölder and L^p estimates for solutions of ∂u = f in strongly pseudoconvex domains
• Integral Representation Formulas and $L^p$-Estimates for the $\bar{\partial}$-Equation.
• Boundary Behavior of Holomorphic Functions of Several Complex Variables. (MN-11)
• The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)
• Singular integrals and estimates for the Cauchy-Riemann equations