A subexponential vector-valued Bohnenblust-Hille type inequality

@article{Albuquerque2014ASV,
  title={A subexponential vector-valued Bohnenblust-Hille type inequality},
  author={Nacib Gurgel Albuquerque and Daniel N'unez-Alarc'on and Diana Serrano-Rodr'iguez},
  journal={arXiv: Functional Analysis},
  year={2014}
}
View PDF on arXiv

References

SHOWING 1-10 OF 22 REFERENCES

The Bohnenblust-Hille inequality for homogeneous polynomials is hypercontractive

The Bohnenblust-Hille inequality says that the ‘ 2m m+1 -norm of the coefcients of an m-homogeneous polynomial P on C n is bounded by kPk1 times a constant independent of n, wherekk 1 denotes the…

Vector valued Bohnenblust-Hille inequalities

The Bohr-Bohnenblust-Hille theorem states that the maximal width of the strip on which a Dirichlet series converges uniformly but not absolutely equals ½. In fact Bohr in 1913 proved that S ≤ ½ asked…

On the Bohnenblust–Hille inequality and a variant of Littlewoodʼs 4/3 inequality

Sharp generalizations of the multilinear Bohnenblust--Hille inequality

Bohr’s power series theorem in several variables

Generalizing a classical one-variable theorem of Harald Bohr, we show that if an n-variable power series has modulus less than 1 in the unit polydisc, then the sum of the moduli of the terms is less…

Optimal Hardy-Littlewood type inequalities for polynomials and multilinear operators

In this paper we obtain quite general and definitive forms for Hardy-Littlewood type inequalities. Moreover, when restricted to the original particular cases, our approach provides much simpler and…

Coordinatewise multiple summing operators in Banach spaces

Logarithmic Sobolev inequalities and hypercontractive estimates on the circle

The Bohr radius of the $n$-dimensional polydisk is equivalent to $\sqrt{\frac{\log n}{n}}

There exist multilinear Bohnenblust–Hille constants (Cn)n=1∞ with limn→∞(Cn+1−Cn)=0