Pure and Applied Mathematics Quarterly

Preface

Sums of CR and projective dual CR functions

Bergman kernels for Paley–Wiener spaces and Nazarov’s proof of the Bourgain–Milman theorem

Vanishing theorem of Kohn–Rossi cohomology class and rigidity of Sasakian space form

A fully-nonlinear flow and quermassintegral inequalities in the sphere

Optimization results for sphere maps

Bergman–Calabi diastasis and Kähler metric of constant holomorphic sectional curvature

Sobolev estimates and duality for $\overline{\partial}$ on domains in $\mathbb{CP}^n$

Sup-norm estimates for $\overline{\partial}$

On the Kähler–Ricci flow on Fano manifolds

Basic estimates for the generalized $\partial$-complex

Holomorphic mappings between hyperquadrics with positive signature

$q$-effectiveness for holomorphic subelliptic multipliers

Symmetry algebras of polynomial models in complex dimension three

On the adjoint action of the group of symplectic diffeomorphisms

Kohn–Rossi cohomology and the complex Plateau problem

Direct proof of termination of the Kohn algorithm in the real-analytic case

On the Levi problem on Kähler manifolds under the negativity of canonical bundles on the boundary

The sharp Gevrey Kotake–Narasimhan theorem with an elementary proof