Abstract
A generalized Bochner-Martinelli formula for the push-forward of a Lipschitz function over a weak Stokes domain is proved. By means of integral products, the $\bar \partial$-Euler and the $\bar \partial$-Neumann vector fields, local and global characterizations of the holomorphicity of functions on a Riemann domain are given. As further applications characterizations of isogeneity and Liouville properties for the push-forward of semi-harmonic functions on an analytic covering space are obtained.
Citation
Chia-Chi Tung. "INTEGRAL PRODUCTS, BOCHNER-MARTINELLI TRANSFORMS AND APPLICATIONS." Taiwanese J. Math. 13 (5) 1583 - 1608, 2009. https://doi.org/10.11650/twjm/1500405559
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