Garsia, Adriano; Rodemich, Eugène Monotonicity of certain functionals under rearrangement. (English) Zbl 0274.26006 Ann. Inst. Fourier 24, No. 2, 67-116 (1974). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 4 ReviewsCited in 40 Documents MSC: 26A48 Monotonic functions, generalizations 26D15 Inequalities for sums, series and integrals 26A15 Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable 60G17 Sample path properties PDFBibTeX XMLCite \textit{A. Garsia} and \textit{E. Rodemich}, Ann. Inst. Fourier 24, No. 2, 67--116 (1974; Zbl 0274.26006) Full Text: DOI Numdam EuDML References: [1] [1] , Quelques propriétés des trajectoires des fonctions aléatoires stables sur Rn, Ann. Inst. H. Poincaré, Sect. B 6, 131-151. · Zbl 0196.18601 [2] [2] , Fonctions aléatoires de deux variables à échantillons continus sur un domaine rectangulaire borné, Z. Wahrsch., 20, 249-258. · Zbl 0147.15801 [3] [3] , Sample functions of the Gaussian process, Annals of Prob. V. 1, No. 1 (1973), 66-103. · Zbl 0261.60033 [4] [4] , On the smoothness of functions satisfying certain integral inequalities, Functional Analysis, Proceedings of a symposium, N. Y. Acad. Press, 1970, 127-161. · Zbl 0286.26004 [5] [5] , Continuity properties of Gaussian processes with multi-dimensional time parameter, Proceedings VI Berkeley Symposium V. II (1970), 369-374. · Zbl 0272.60034 [6] [6] , Martingale inequalities, Seminar Notes W. A. Benjamin, Lecture Series (to appear). · Zbl 0449.60035 [7] [7] , and , A real variable lemma and the continuity of paths of Gaussian processes, Indiana U. Math. J. V., 20 (1970), 565-578. · Zbl 0252.60020 [8] [8] and , Continuity of local times for Markov Processes, Compositio Math., V. 24, Fasc. 3 (1972), 277-303. · Zbl 0293.60069 [9] [9] , Growth and continuity of functions satisfying quadratic integral inequalities, Indiana U. Math. J. V., 21, No. 2 (1971), 157-175. · Zbl 0212.08604 [10] [10] , Lipschitz spaces and Bernstein’s theorem on absolutely convergent Fourier transforms, Jour. Math. Mech. V., 18, No. 4 (1968), 283-324. · Zbl 0177.15701 [11] [11] and , On functions of bounded mean oscillation, Comm. Pure and Appl. Math., V. 14 (1961), 415-426. · Zbl 0102.04302 [12] [12] , Probability, W. A. Benjamin Inc., Amsterdam (1966). · Zbl 0147.15502 [13] [13] and , Sample Behaviour of Gaussian processes, Proc. VI, Berkeley Symp., V. II (1970), 423-439. · Zbl 0379.60040 [14] [14] , Combinatorial Mathematics, Carus Math. Monograph, No. 14, (1963). · Zbl 0112.24806 [15] [14] , Rearrangements of incidence tables, Jour. of Comb. Theory (A), 14 (1973), 30-36. · Zbl 0257.05019 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.