Journal ArticleDOI
Some properties of fractional integrals II
G. H. Hardy,J. E. Littlewood +1 more
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This article is published in Mathematische Zeitschrift.The article was published on 1928-12-01. It has received 899 citations till now. The article focuses on the topics: Daniell integral & Riemann integral.read more
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Book
Operator theory in function spaces
TL;DR: In this article, the authors introduce the concept of bounded linear operators on the Bergman space and define a set of operators based on the bounded linear operator on the Hardy space, including the following operators:
Book ChapterDOI
Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
TL;DR: For the doubly weighted HLS inequality, the authors showed that f and N are explicitly evaluated when p =q' or p = 2 or q = 2, when q' or q' < 2, and when n = 2n/(2b + n - 2).
Journal ArticleDOI
On convergence of stochastic processes
TL;DR: In this paper, it is shown that certain known invariance principles can under some hypotheses be improved by enlarging the class of functions for which (2) holds by considering spaces S other than the customary ones.
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On the characteristic of functions meromorphic in the unit disk and of their integrals
TL;DR: In this paper, the Nevanlinna characteristic function of a regular function is defined as a convex increasing function with bounded characteristic in the sense that it always exists as a finite or infinite limit.
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Weighted norm inequalities for fractional integrals
TL;DR: The main result of as discussed by the authors is that V(x) is such a function if and only if (-fQ [V(X)]qdx (jff [vx) P'd)1 (IQIJQVX]^ (QI J [V[V[X)]-p, ) where Q is any n dimensional cube, IQI denotes the measure of Q, p' = p/(p 1) and K is a constant independent of Q. Substitute results for the cases p = 1 and q = oo and a weighted version
References
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Weierstrass’s non-differentiable function
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Sur la convergence absolue des séries trigonométriques
TL;DR: The Bulletin de la S. M. F. as discussed by the authors implique l'accord avec les conditions générales d'utilisation (http://www.numdam.org/legal.php).
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