A Hardy-Littlewood Integral Inequality on Finite Intervals with a Concave Weight
Abstract
A Hardy-Littlewood integral inequality on finite intervals with a concave weight is established. Given a function f on an interval [a,b], it is shown that the square of the weighted L2 norm of its derivative f' is bounded by the product of the weighted L2 norm of f and that of the second derivative f''.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.