Weighted norm inequalities for potentials with applications to Schrödinger operators, Fourier transforms, and Carleson measures

Kerman, R.; Sawyer, E.

doi:10.1090/S0273-0979-1985-15306-6

Weighted norm inequalities for potentials with applications to Schrödinger operators, Fourier transforms, and Carleson measures
HTML articles powered by AMS MathViewer

by R. Kerman and E. Sawyer PDF

Bull. Amer. Math. Soc. 12 (1985), 112-116

References

Björn E. J. Dahlberg, Regularity properties of Riesz potentials, Indiana Univ. Math. J. 28 (1979), no. 2, 257–268. MR 523103, DOI 10.1512/iumj.1979.28.28018
Eugene B. Fabes, Carlos E. Kenig, and Raul P. Serapioni, The local regularity of solutions of degenerate elliptic equations, Comm. Partial Differential Equations 7 (1982), no. 1, 77–116. MR 643158, DOI 10.1080/03605308208820218
Charles L. Fefferman, The uncertainty principle, Bull. Amer. Math. Soc. (N.S.) 9 (1983), no. 2, 129–206. MR 707957, DOI 10.1090/S0273-0979-1983-15154-6
Hans P. Heinig, Weighted norm inequalities for classes of operators, Indiana Univ. Math. J. 33 (1984), no. 4, 573–582. MR 749315, DOI 10.1512/iumj.1984.33.33030
W. B. Jurkat and G. Sampson, On rearrangement and weight inequalities for the Fourier transform, Indiana Univ. Math. J. 33 (1984), no. 2, 257–270. MR 733899, DOI 10.1512/iumj.1984.33.33013
Benjamin Muckenhoupt, Weighted norm inequalities for the Fourier transform, Trans. Amer. Math. Soc. 276 (1983), no. 2, 729–742. MR 688974, DOI 10.1090/S0002-9947-1983-0688974-X
Benjamin Muckenhoupt and Richard Wheeden, Weighted norm inequalities for fractional integrals, Trans. Amer. Math. Soc. 192 (1974), 261–274. MR 340523, DOI 10.1090/S0002-9947-1974-0340523-6
Alexander Nagel, Walter Rudin, and Joel H. Shapiro, Tangential boundary behavior of functions in Dirichlet-type spaces, Ann. of Math. (2) 116 (1982), no. 2, 331–360. MR 672838, DOI 10.2307/2007064
Michael Reed and Barry Simon, Methods of modern mathematical physics. I. Functional analysis, Academic Press, New York-London, 1972. MR 0493419
Eric T. Sawyer, A characterization of a two-weight norm inequality for maximal operators, Studia Math. 75 (1982), no. 1, 1–11. MR 676801, DOI 10.4064/sm-75-1-1-11
David A. Stegenga, Multipliers of the Dirichlet space, Illinois J. Math. 24 (1980), no. 1, 113–139. MR 550655