The (Lp, Lq) bilinear Hardy-Littlewood function for the tail期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

The (L^p, L^q) bilinear Hardy-Littlewood function for the tail

Authors:

Idris Assani and Zoltán Buczolich

Abstract:

Let (X, B, μ, T) be a measure preserving dynamical system on a finite measure space. Consider the maximal function

R^:(f,g) ? L^P ×L^q ? R^(f,g)(x) = sup_n [(f(Tⁿx)g(T²ⁿx))/(n)]{R^}:(f,g) in {L^P} times {L^q} to {R^}(f,g)(x) = mathop {sup }limits_n {{f({T^n}x)g({T^{2n}}x)} over n}

Keywords:
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