$$\boldsymbol{L}^{\boldsymbol{p}}$$ and Hölder Estimates for Cauchy–Riemann Equations on Convex Domain of Finite/Infinite Type with Piecewise Smooth Boundary in $$\boldsymbol{\mathbb{C}}^{\mathbf{2}}$$
Author:
Publisher
Allerton Press
Subject
Applied Mathematics,Control and Optimization,Analysis
Link
https://link.springer.com/content/pdf/10.3103/S1068362321040129.pdf
Reference19 articles.
1. B. Berndtsson and M. Andersson, ‘‘Henkin–Ramirez formulas with weight factors,’’ Ann. Inst. Fourier 32 (3), 91–110 (1982). https://doi.org/10.5802/aif.881
2. J. Bruna and J. del Castillo, ‘‘Hölder and $$L^{p}$$-estimates for the $$\bar{\partial}$$-equation in some convex domains with real-analytic boundary,’’ Math. Ann. 269, 527–539 (1984). https://doi.org/10.1007/BF01450763
3. S.-C. Chen and M.-C. Shaw, Partial Differential Equations in Several Complex Variables, Studies in Advanced Mathematics, vol. 19 (Am. Math. Soc., 2001).
4. H. R. Cho and J.-D. Park, ‘‘Weight $$L^{p}$$ estimates for $$\bar{\partial}$$ on a convex domain with piecewise smooth boundary in $$\mathbb{C}^{2}$$,’’ J. Korean Math. Soc. 44, 1417–1425 (2007).
5. G. M. Henkin, ‘‘Integral representations of functions holomorphic in strictly pseudoconvex domains, and some applications,’’ Math. USSR Sb. 7, 597–616 (1969). https://doi.org/10.1070/SM1969v007n04ABEH001105
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