Abstract
UDC 517.5 We prove some relations between the discrete Gehring classes 𝒢 q and the discrete Muckenhoupt classes 𝒜 p . Specifically, by using some known Hardy-type and Carleman-type inequalities, we study the relationship between 𝒢 1 , 𝒜 ∞ and 𝒜 1 for nonincreasing and nondecreasing weights. Finally, we establish some general results by introducing the notions of 𝒢 φ classes defined for nonnegative convex function φ .
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