#several complex variables

try —

4 papers match

math.CV2026

$L^{p}$ Estimates for the $\partial ˉ$ -Problem on Rational Hartogs Triangles

Tran Vu Khanh, Tu Nguyen

The paper proves that solution operators for the $ar{\\partial}$-problem on rational Hartogs triangles are bounded on $L^{p}$ spaces for a range of $p$ , and identifies the $p$ -inter…

#hartogs triangle#lp estimates#dbar problem#several complex variables

math.CV2026

Coefficient bounds and growth estimates for a class of pluriharmonic mappings in unit polydisk

Sujoy Majumder, Goutam Haldar, Debabrata Pramanik +1

The paper defines a new class of normalized pluriharmonic mappings on the unit polydisk, establishes a correspondence with holomorphic functions, and derives sharp coefficient boun…

#pluriharmonic mappings#coefficient bounds#growth estimates#unit polydisk

math.CV2026

Multidimensional analogues of the improved Bohr's inequality for shifted polydisks

Sujoy Majumder, Abhijit Banerjee, Jhilik Banerjee +1

The paper extends Bohr-type inequalities to holomorphic and pluriharmonic functions on general simply connected domains and shifted polydisks in several complex variables.

#bohr inequality#holomorphic functions#pluriharmonic mappings#polydisk

math.FA2026

On numerical invariants for submodules $[(z - w)^{2}]$ in $H^{2} (D^{2})$

Yin Liu, Yufeng Lu, Chao Zu

The paper derives explicit formulas for numerical invariants of the homogeneous submodule generated by (z‑w)^2 in the Hardy module over the bidisk and checks a monotonicity propert…

#hardy spaces#bidisk#submodule invariants#operator theory

#several complex variables

Lp Estimates for the ∂ˉ-Problem on Rational Hartogs Triangles

Coefficient bounds and growth estimates for a class of pluriharmonic mappings in unit polydisk

Multidimensional analogues of the improved Bohr's inequality for shifted polydisks

On numerical invariants for submodules [(z−w)2] in H2(D2)

$L^{p}$ Estimates for the $\partial ˉ$ -Problem on Rational Hartogs Triangles

On numerical invariants for submodules $[(z - w)^{2}]$ in $H^{2} (D^{2})$