Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Norm and Numerical Radius of 2-homogeneous Polynomials on the Real Space lp2, (1 < p > ∞)

  • Kim, Sung-Guen (Department of Mathematics, Kyungpook National University)
  • Received : 2007.08.16
  • Published : 2008.09.30
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Abstract

In this note, we present some inequalities for the norm and numerical radius of 2-homogeneous polynomials from the 2-dimensional real space $l_p^2$, (1 < p < $\infty$) to itself in terms of their coefficients. We also give an upper bound for n^{(k)}(l_p^2), (k = 2, 3, $\cdots$).

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References

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