Two weight function norm inequalities for the Poisson integral

Author:
Benjamin Muckenhoupt

Journal:
Trans. Amer. Math. Soc. **210** (1975), 225-231

MSC:
Primary 42A40

MathSciNet review:
0374790

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Abstract: Let denote a complex valued function with period , let

**[1]**Richard Hunt, Benjamin Muckenhoupt, and Richard Wheeden,*Weighted norm inequalities for the conjugate function and Hilbert transform*, Trans. Amer. Math. Soc.**176**(1973), 227–251. MR**0312139**, 10.1090/S0002-9947-1973-0312139-8**[2]**Benjamin Muckenhoupt,*Weighted norm inequalities for the Hardy maximal function*, Trans. Amer. Math. Soc.**165**(1972), 207–226. MR**0293384**, 10.1090/S0002-9947-1972-0293384-6**[3]**Benjamin Muckenhoupt and Richard L. Wheeden,*Two weight function norm inequalities for the Hardy-Littlewood maximal function and the Hilbert transform*, Studia Math.**55**(1976), no. 3, 279–294. MR**0417671****[4]**Marvin Rosenblum,*Summability of Fourier series in 𝐿^{𝑝}(𝑑𝜇)*, Trans. Amer. Math. Soc.**105**(1962), 32–42. MR**0160073**, 10.1090/S0002-9947-1962-0160073-1

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DOI:
https://doi.org/10.1090/S0002-9947-1975-0374790-0

Article copyright:
© Copyright 1975
American Mathematical Society