Cover Image

The Bohr inequality for vector-valued holomorphic functions with lacunary series in complex Banach spaces

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Ahammed, Sabir, Ahamed, Molla Basir, Hossain, Rajesh
Format:	Preprint
Published:	2025
Subjects:	Complex Variables Primary: 32A05, 32A10, 32A22, Secondary: 46B20, 46G25, 46E50
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Multidimensional Bohr radii for holomorphic functions with values in complex Banach spaces
by: Allu, Vasudevarao, et al.
Published: (2023)

On multidimensional Bohr radius of finite dimensional Banach spaces
by: Allu, Vasudevarao, et al.
Published: (2025)

On multidimensional Bohr radii for Banach spaces
by: Allu, Vasudevarao, et al.
Published: (2024)

Local constants and Bohr's phenomenon for Banach spaces of analytic polynomials
by: Defant, Andreas, et al.
Published: (2025)

Non-existence of a holomorphic embedding of the Sobolev loop space into the projective Hilbert space
by: M., Anakkar, et al.
Published: (2024)

Projections onto $L^p$-Bergman spaces of Reinhardt Domains
by: Chakrabarti, Debraj, et al.
Published: (2023)

Stability of the Monomial Basis Kernel of Reinhardt domains
by: Bhat, Shreedhar, et al.
Published: (2026)

A note for Carleson measure on bounded $\mathbb{C}$-convex domains
by: Li, Mingjin, et al.
Published: (2025)

On the membership of two-variable Rational Inner Functions in spaces of Dirichlet-type
by: Beslikas, Athanasios, et al.
Published: (2025)

Arithmetic Bohr radius of bounded linear operators
by: Allu, Vasudevarao, et al.
Published: (2024)

On Grothendieck type duality for the space of holomorphic functions of several variables
by: Khoryakova, Yulia, et al.
Published: (2023)

Bohr inequalities for holomorphic mappings in higher-dimensional complex Banach spaces
by: Allu, Vasudevarao, et al.
Published: (2025)

A universal $\overline\partial$ solution operator on nonsmooth strongly pseudoconvex domains
by: Yao, Liding
Published: (2024)

A nontrivial uniform algebra Dirichlet on its maximal ideal space
by: Izzo, Alexander J.
Published: (2024)

Representation of Operators on Spaces of Holomorphic Functions in $\mathbb{C}^n$
by: Trybuła, Maria
Published: (2025)

A topological splitting of the space of meromorphic germs in several variables and continuous evaluators
by: Dahmen, Rafael, et al.
Published: (2022)

On algebras of Dirichlet series invariant under permutations of coefficients
by: Brudnyi, Alexander, et al.
Published: (2024)

Analysis of Toeplitz Operators with $BMO^1_α$ operator-valued symbols on $\ell^2-$Valued Bergman Spaces
by: Békollè, David, et al.
Published: (2025)

Vector-valued Fourier hyperfunctions and boundary values
by: Kruse, Karsten
Published: (2019)

On Algebras of Functions over Infinite Dimensions
by: Giannakis, Dimitrios, et al.
Published: (2026)

The polynomial cluster value problem for Banach spaces
by: Castillo, Sofia Ortega, et al.
Published: (2023)

$L^p$ regularity of the Bergman projection on the symmetrized polydisc
by: Huo, Zhenghui, et al.
Published: (2023)

Sobolev and Hölder estimates for homotopy operators of the $\overline\partial$-equation on convex domains of finite multitype
by: Yao, Liding
Published: (2022)

Local regularity of the Bergman projection on a class of pseudoconvex domains of finite type
by: Khanh, Tran Vu, et al.
Published: (2014)

Uniform approximation on certain polynomial polyhedra in $\mathbb{C}^2$
by: Gorai, Sushil, et al.
Published: (2024)

The Bohr radius for operator valued functions on simply connected domain
by: Ahammed, Sabir, et al.
Published: (2024)

Sharp Bohr-Rogosinski radii for Schwarz functions and Euler operators in C^n
by: Ahamed, Molla Basir, et al.
Published: (2026)

The Schur-Agler class in infinitely many variables
by: Knese, Greg
Published: (2025)

Local Banach Space Theoretic Approach to Bohr's Theorem for Vector Valued Holomorphic and Pluriharmonic Functions
by: Halder, Himadri
Published: (2025)

A transference principle for involution-invariant functional Hilbert spaces
by: Bera, Santu, et al.
Published: (2024)

Shift-cyclicity in analytic function spaces
by: Sampat, Jeet
Published: (2024)

Hadamard multipliers of the Agler class
by: Knese, Greg
Published: (2025)

Duality and Interpolation of Bergman Spaces
by: Bhat, Shreedhar
Published: (2024)

On $\overline\partial$ homotopy formulae for product domains: Nijenhuis-Woolf's formulae and optimal Sobolev estimates
by: Yao, Liding, et al.
Published: (2025)

Holomorphic functions on complex Banach lattices
by: Boyd, Christopher, et al.
Published: (2023)

Endpoint Estimates for Bergman Commutators and New Characterizations of the Bloch Space and $H^\infty$
by: Christopherson, Adam B., et al.
Published: (2026)

Bohr phenomenon for certain integral operators and transforms in complex Banach spaces
by: Allu, Vasudevarao, et al.
Published: (2026)

Corona Theorem
by: Kosiek, Marek, et al.
Published: (2021)

Composition operators between model and Hardy spaces
by: Doubtsov, Evgueni
Published: (2026)

Vector valued Hardy spaces related to analytic functions having distributional boundary values
by: Carmichael, Richard D., et al.
Published: (2018)