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Weighted norm inequalities for potentials with applications to Schrödinger operators, Fourier transforms, and Carleson measures
Author(s):
R.
Kerman;
E.
Sawyer
Journal:
Bull. Amer. Math. Soc.
12
(1985),
112-116.
MSC (1980):
Primary 26D10, 42B25
MathSciNet review:
766965
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Additional information
References:
- 1.
- B. Dahlberg, Regularity properties of Riesz potentials, Indiana Univ. Math. J. 28 (1979), 257-268. MR 523103
- 2.
- E. Fabes, C. Kenig and R. Serapioni, The local regularity of solutions of degenerate elliptic equations, Comm. Partial Differential Equations 7 (1982), 77-116. MR 643158
- 3.
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- 4.
- K. Hansson, Continuity and compactness of certain convolution operators, Instiut Mittag-Leffler, Report No. 9, 1982.
- 5.
- H. Heinig, Weighted norm inequalities for classes of operators, preprint. MR 749315
- 6.
- W. B. Jurkat and G. Sampson, On rearrangement and weight inequalities for the Fourier transform, Indiana Univ. Math. J. 32 (1984), 257-270. MR 733899
- 7.
- B. Muckenhoupt, Weighted norm inequalities for the Fourier transform, Trans. Amer. Math. Soc. 276 (1983), 729-742. MR 688974
- 8.
- B. Muckenhoupt and R. L. Wheeden, Weighted norm inequalities for fractional integrals, Trans. Amer. Math. Soc. 192 (1974), 251-275. MR 340523
- 9.
- A. Nagel, W. Rudin and J. Shapiro, Tangential boundary behaviour of functions in Dirichlettype spaces, Ann. of Math. (2) 116 (1982), 331-360. MR 672838
- 10.
- M. Reed and B. Simon, Methods of mathematical physics, Vol. I, Academic Press, New York and London, 1972. MR 493419
- 11.
- E. Sawyer, A characterization of a two-weight norm inequality for maximal operators, Studia Math. 75 (1982), 1-11. MR 676801
- 12.
- D. A. Stegenga, Multipliers of the Dirichlet space, Illinois J. Math. 24 (1980), 113-139. MR 550655
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Additional Information:
DOI:
10.1090/S0273-0979-1985-15306-6
PII:
S 0273-0979(1985)15306-6
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