Abstract
UDC 517.5 We obtain some necessary and sufficient conditions for a weighted weak-type inequality of the form ∫ { M g + ( f ) > λ } φ ˜ ( λ ω 3 ( x ) ω 4 ( x ) ) ω 4 ( x ) ⅆ x ≤ C 1 ∫ - ∞ + ∞ φ ˜ ( C 1 | f ( x ) | ω 1 ( x ) ω 2 ( x ) ) ω 2 ( x ) ⅆ x to be true, which generalize some known results.
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