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Combinatorial inequalities and smoothness of functions
Author(s):
Adriano M.
Garsia
Journal:
Bull. Amer. Math. Soc.
82
(1976),
157-170.
MSC (1970):
Primary 26A54, 26A15, 42A16
MathSciNet review:
0582776
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Additional information
References:
- 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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Additional Information:
DOI:
10.1090/S0002-9904-1976-13975-4
PII:
S 0002-9904(1976)13975-4
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