A singular integral inequality on a bounded interval
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- by J. S. Bradley and W. N. Everitt PDF
- Proc. Amer. Math. Soc. 61 (1976), 29-35 Request permission
Abstract:
An inequality of the form (1.1) is established, where $p,q$ are real-valued functions on an interval $[a,b)$ of the real line, with $- \infty < a < b < \infty ,p(x) > 0$ on $[a,b),{\mu _0}$ is a real number and $f$ is a complex-valued function in a linear manifold so chosen that all three integrals in (1.1) are absolutely convergent. The problem is singular in that while ${p^{ - 1}} \in L(a,b)$ we require $q$ to have a behavior at $b$ of such a form that $q \notin L(a,b)$.References
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Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 61 (1976), 29-35
- MSC: Primary 34B99; Secondary 26A84
- DOI: https://doi.org/10.1090/S0002-9939-1976-0425249-X
- MathSciNet review: 0425249