@article{Yuan2026, 
author = {Yuan Yuan},
title = {Uniform Estimates of the Cauchy–Riemann Equation and Kerzman’s Question},
year = {2026},
journal = {Peking Mathematical Journal},
volume = {9},
number = {3},
pages = {629-642},
keywords = {∂¯ equation, Polydisc, Product domains, Uniform estimates},
url = {https://www.sciopen.com/article/10.1007/s42543-025-00096-0},
doi = {10.1007/s42543-025-00096-0},
abstract = {We answer a question raised by Kerzman in 1971. More precisely, we show that the canonical solution of the                      ∂        ¯            -equation satisfies the        L    p   estimate on the polydisc for    p  ∈  [  1  ,  ∞  ]. Moreover, the        L    p   estimates for    p  ∈  [  1  ,  ∞  ] of                      ∂        ¯             can also be obtained on the product of bounded        C    2   planar domains by an observation based on the method developed in [Dong et al. arXiv:2006.14484].}
}