Corpus ID: 54199544

Polynomial Inequalities on the π/4-Circle Sector

  title={Polynomial Inequalities on the $\pi$/4-Circle Sector},
  author={G. Ara'ujo and Pablo Jim'enez-Rodr'iguez and Gustavo A. Munoz-Fern'andez and Juan B. Seoane-Sep'ulveda},
  journal={arXiv: Functional Analysis},
A number of sharp inequalities are proved for the space P (2D (π/4)) of 2-homogeneous polynomials on ℝ2 endowed with the supremum norm on the sector D (π/4) := {eiθ : θ ∈ [0, π/4]}. Among the main results we can find sharp Bernstein and Markov inequalities and the calculation of the polarization constant and the unconditional constant of the canonical basis of the space P (2D (π/4)). 
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