Pacific Journal of Mathematics

Imbedding and multiplier theorems for discrete Littlewood-Paley spaces.

Igor E. Verbitsky
Source: Pacific J. Math. Volume 176, Number 2 (1996), 529-556.
First Page: Show Hide
Primary Subjects: 42C99
Full-text: Open access
Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102104976
Zentralblatt MATH identifier: 0865.42009
Mathematical Reviews number (MathSciNet): MR1435004

References

[1] D.R. Adams and L.I. Hedberg, Function Spaces and Potential Theory, Springer- Verlag, Berlin-Heidelberg-New York, 1996.
Mathematical Reviews (MathSciNet): MR97j:46024
Zentralblatt MATH: 0834.46021
[2] E. Amar and A. Bonami, Mesures de Carleson d1order a et solutions au bord de I'equation 5, Bull. Soc. Math. Prance, 107 (1979), 124-153.
Mathematical Reviews (MathSciNet): MR80h:32032
Zentralblatt MATH: 0409.46035
[3] L. Carleson, An interpolation problem for bounded analytic functions, Amer. J. Math., 80 (1958), 921-930.
Mathematical Reviews (MathSciNet): MR22:8129
Zentralblatt MATH: 0085.06504
[4] L. Dor, On projections in L1, Ann. Math., 102 (1975), 463-474.
Mathematical Reviews (MathSciNet): MR54:8258
Zentralblatt MATH: 0314.46027
[5] C. Fefferman and E.M. Stein, Some maximal inequalities, Amer. J. Math., 93 (1971), 107-115.
Mathematical Reviews (MathSciNet): MR44:2026
Zentralblatt MATH: 0222.26019
[6] C. Fefferman and E.M. Stein, Hp spaces of several variables, Acta Math., 129 (1972), 137-193.
Mathematical Reviews (MathSciNet): MR56:6263
Zentralblatt MATH: 0257.46078
[7] M. Prazier and B. Jawerth, A discretetransform and decompositionsof distribution spaces,J. Funct. Analysis, 93 (1990), 34-170.
Mathematical Reviews (MathSciNet): MR92a:46042
Zentralblatt MATH: 0716.46031
[8] M. Prazier, B. Jawerth and G. Weiss, Littlewood-PaleyTheory and the Study of Function Spaces, CBMS-AMS Regional Conf., 79 (1991).
[9] J. Garcia-Cuerva and J.-L. Rubio de Prancia, Weighted Norm Inequalities and Related Topics, North-Holland Math. Studies, 116, North-Holland, Amsterdam (1985).
Mathematical Reviews (MathSciNet): MR87d:42023
Zentralblatt MATH: 0578.46046
[10] J. Garnett, Bounded Analytic Functions, Acad. Press, New York-London-Toronto, 1981.
Mathematical Reviews (MathSciNet): MR83g:30037
Zentralblatt MATH: 0469.30024
[11] Y.S. Han and E.T. Sawyer, Littlewood-Paley Theory on Spaces of Homogeneous Type and the Classical Function Spaces, Memoirs Amer. Math. Soc, 530 (1994).
Mathematical Reviews (MathSciNet): MR96a:42016
Zentralblatt MATH: 0806.42013
[12] N.J. Kalton and S.J. Montgomery-Smith, Set-functionsand factorization,Arch. Math., 61 (1993), 183-200.
Mathematical Reviews (MathSciNet): MR95c:46057
Zentralblatt MATH: 0781.46023
[13] N.J. Kalton, N.T. Peck and J.W. Roberts, An F-Space Sampler, London Math. Soc. Lecture Notes, 89 (1984).
Mathematical Reviews (MathSciNet): MR87c:46002
Zentralblatt MATH: 0556.46002
[14] D.H. Luecking, Embedding derivatives of Hardy spaces into Lebesgue spaces, Proc. London Math. Soc, 63 (1991), 595-619.
Mathematical Reviews (MathSciNet): MR92k:42030
Zentralblatt MATH: 0774.42011
[15] D.H. Luecking, Embedding theorems for spaces of analytic functionsvia Khinchine's in- equality, Michigan Math. J., 40 (1993), 333-358.
Mathematical Reviews (MathSciNet): MR94e:46046
Zentralblatt MATH: 0801.46019
[16] B. Maurey, Theremes de factorisation pour les operateurs lineaires a valeurs dans les espaces Lp, Asterisque, 11 (1974), 1-163.
Mathematical Reviews (MathSciNet): MR49:9670
Zentralblatt MATH: 0278.46028
[17] Y. Meyer, Wavelets and operators, Analysis at Urbana, London Math. Soc. Lecture Notes Series, 137, 256-364, Cambridge Univ. Press, 1989.
Mathematical Reviews (MathSciNet): MR90i:42043
Zentralblatt MATH: 0810.42015
[18] G. Pisier, Factorization of operators through Lpo or Lpl and noncommutative gen- eralizations, Math. Ann., 276 (1986), 105-136.
Mathematical Reviews (MathSciNet): MR88f:47013
[19] E.T. Sawyer, A characterization of a two weight maximal norm inequality for max- imal operators, Studia Math., 75 (1982), 1-11.
Mathematical Reviews (MathSciNet): MR84i:42032
Zentralblatt MATH: 0508.42023
[20] E.T. Sawyer and R.L. Wheeden, Weighted inequalities for fractional integrals on Euclidean and homogeneous spaces, Amer. J. Math., 114 (1992), 813-874.
Mathematical Reviews (MathSciNet): MR94i:42024
Zentralblatt MATH: 0783.42011
[21] I.E. Verbitsky, Weighted norm inequalities for maximal operators and Pisier's the- orem on factorization through Lpo, Int. Equat. Oper. Theory, 15 (1992), 124-153.
Mathematical Reviews (MathSciNet): MR93d:42017
Zentralblatt MATH: 0782.47027
[22] I.E. Verbitsky and R.L. Wheeden, Weighted inequalities for fractional integrals and applications to semilinear equations, J. Punct. Analysis, 129 (1995), 221-241.
Mathematical Reviews (MathSciNet): MR95m:42025
Zentralblatt MATH: 0830.46029

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