Geometric Potential Analysis (Issn, 6)

This monograph contains papers that were delivered at the special session on Geometric Potential Analysis, that was part of the Mathematical Congress of the Americas 2021, virtually held in Buenos Aires. The papers, that were contributed by renowned specialists worldwide, cover important aspects of current research in geometrical potential analysis and its applications to partial differential equations and mathematical physics. * A collection of the Mathematical Congress of the Americas – Geometric Potential Analysis invited speakers’ contributions. * Speakers from the July 2021 meeting. Foreword Contents Hardy spaces associated to the Kohn Laplacian on a family of model domains in Cn+1 • Xinfeng Wu, Der-Chen Chang, and Yongsheng Han Affine mixed Rayleigh quotients • Julian Haddad and Jie Xiao Riesz potentials and Hardy–Morrey spaces • Liguang Liu and Suqing Wu The singular Fredholm integral operators and related integral equations of Chandrasekhar type • Sheng-Ya Feng and Der-Chen Chang Extended multichannel weighted Schatten p-norm minimization for color image denoising • Lijia Zhang and Wengu Chen The boundedness of a bilinear oscillatory integral • Guoliang Li and Junfeng Li On sharp Sobolev-type inequalities for multidimensional Cauchy measures • Sergey G. Bobkov and Cyril Roberto Banach lattice-valued q-variation and convexity • Guixiang Hong Weighted boundedness of Marcinkiewicz integral operators and related singular integral operators • Yanping Chen and Xueting Han A spectral comparison note • Alina Stancu On existence and nonexistence of nonnegative solutions to heat equation on Riemannian manifolds • Yuhua Sun and Fanheng Xu The Neumann problem for the Laplacian in half-spaces • Dorina Mitrea, Irina Mitrea, and Marius Mitrea An inequality on the mass of image of rectifiable chain under Lipschitz map • Chunyan Liu and Ning Zhang Boundedness of general alternative Gaussian singular integrals on Gaussian variable Lebesgue spaces • Eduard Navas, Ebner Pineda, and Wilfredo O. Urbina Remarks on weak–strong uniqueness for two-fluid model • Yang Li and Ewelina Zatorska Coercive inequalities on Carnot groups and applications • Esther Bou Dagher, Yifu Wang, and Boguslaw Zegarlinski On exponential Yang–Mills fields and p-Yang–Mills fields • Shihshu Walter Wei Index