Combinatorial inequalities and smoothness of functions

Author:
Adriano M. Garsia

Journal:
Bull. Amer. Math. Soc. **82** (1976), 157-170

MSC (1970):
Primary 26A54, 26A15, 42A16

DOI:
https://doi.org/10.1090/S0002-9904-1976-13975-4

MathSciNet review:
0582776

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References | Similar Articles | Additional Information

**1.**A. M. Garsia,*On the smoothness of functions satisfying certain integral inequalities*, Functional Analysis (Proc. Sympos., Monterey, Calif., 1969), Academic Press, New York, 1970, pp. 127-162. MR 42 #8267. MR**273388****2.**A. M. Garsia,*A remarkable inequality and the uniform convergence of Fourier series*, Indiana Univ. Math. J. (to appear). MR**413247****3.**A. M. Garsia and P. DeLand,*Moduli of continuity for exponential Lipschitz classes*(to appear).**4.**A. M. Garsia and S. Milne,*Peano curves and smoothness of functions*(to appear).**5.**A. M. Garsia and E. Rodemich,*Monotonicity of certain functionals under rearrangements*, Ann. Inst. Fourier (Grenoble) 24 (1974), fasc. 2, 116. MR**414802****6.**A. M. Garsia, E. Rodemich and H. Rumsey, Jr.,*A real variable lemma and the continuity of paths of some Gaussian processes*, Indiana Univ. Math. J. 20 (1970/71), 565-578. MR 42 #2534. MR**267632****7.**R. K. Getoor and H. Kesten,*Continuity of local times for Markov processes*, Compositio Math. 24 (1972), 277-303. MR 46 #10075. MR**310977****8.**C. A. Greenhall,*Growth and continuity of functions satisfying quadratic integral inequalities*, Indiana Univ. Math. J. 21 (1971/72), 157-175. MR 44 #5420. MR**288222****9.**M. B. Marcus and N. C. Jain,*Sufficient conditions for the continuity of stationary Gaussian processes and applications to random series of functions*, Ann. Inst. Fourier (Grenoble) 24 (1974), fasc. 2, 117-141. MR**413239****10.**L. Nirenberg,*On elliptic partial differential equations*, Ann. Scuola Norm. Sup. Pisa (3) 13 (1959), 115-162. MR 22 #823. MR**109940****11.**T. W. Park,*Sobolov type inequalities and path continuity of L*(to appear).**12.**C. Preston,*Continuity properties of some Gaussian processes*, Ann. Math. Statist. 43 (1972), 285-292. MR 46 #6436. MR**307316****13.**H. Taylor,*Rearrangements of incidence tables*, J. Combinatorial Theory Ser. A 14 (1973), 30-36. MR 47 #8322. MR**319781**

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DOI:
https://doi.org/10.1090/S0002-9904-1976-13975-4