Equivalent Norms for Polynomials on the Sphere
نویسندگان
چکیده
We find necessary and sufficient conditions for a sequence of sets EL ⊂ S in order to obtain the inequality Sd |QL|dμ ≤ Cp EL |QL|dμ, ∀L ≥ 0, where 1 ≤ p < +∞, QL is any polynomial of degree smaller or equal than L, μ is a doubling measure and the constant Cp is independent of L. From this description it follows an uncertainty principle for functions in L(S). We consider also weighted uniform versions of this result.
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