Pacific Journal of Mathematics

Tent spaces over general approach regions and pointwise estimates.

María J. Carro and Javier Soria

Article information

Source
Pacific J. Math. Volume 163, Number 2 (1994), 217-235.

Dates
First available in Project Euclid: 8 December 2004

Permanent link to this document
https://projecteuclid.org/euclid.pjm/1102622456

Mathematical Reviews number (MathSciNet)
MR1262295

Zentralblatt MATH identifier
0791.42013

Subjects
Primary: 42B25: Maximal functions, Littlewood-Paley theory
Secondary: 42B30: $H^p$-spaces 46E15: Banach spaces of continuous, differentiable or analytic functions 46E30: Spaces of measurable functions (Lp-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) 46F12: Integral transforms in distribution spaces [See also 42-XX, 44-XX]

Citation

Carro, María J.; Soria, Javier. Tent spaces over general approach regions and pointwise estimates. Pacific J. Math. 163 (1994), no. 2, 217--235. https://projecteuclid.org/euclid.pjm/1102622456.


Export citation

References

  • [1] J.Alvarez andM.Milman, Spaces ofCarleson measures: duality and interpo- lation, Ark.Mat.,25(2) (1987), 155-174.
  • [2] R.Coifman, Y.MeyerandE.Stein, Some newfunction spaces andtheirappli- cations to harmonic analysis, J.Funct. Anal, 62 (1985),304-335.
  • [3] P.L.Duren, B.W.Romberg andA.L.Shields,Linearfunctional on Hp spaces with 0 <p < 1,J.Reine Angew. Math., 238(1969),32-60.
  • [4] C.Fefferman andE.Stein, Hp spaces of several variables, Acta Math.,129 (1972), 137-193.
  • [5] J.Garca-Cuerva andJ.L.Rubio deFrancia, WeightedNorm Inequalitiesand Related Topics,Mathematical Studies, vol. 116,North-Holland,1985.
  • [6] HanYongsheng, Certain Hardy-typespaces that canbecharacterized bymaxi- mal functions andvariations of the squarefunctions, Ph.D. Thesis, Washington University (1984).
  • [7] R. Johnson, Applications of CarlesonMeasures to Partial Differential Equations and FourierMultiplier Problems, Proc. Conf. Cortona, Lecture Notes in Math., vol. 992, (1982), pp. 16-72.
  • [8] A. Nagel and E. Stein, On certain maximal functions and approachregions,Adv. Math., 54(1984), 83-106.
  • [9] F. J. Ruiz and J. L. Torrea, A unified approach to Carleson measures and Ap weights. II, Pacific J. Math., 120 (1985), 189-197.
  • [10] J. Soria, Weighted Tent Spaces, Math. Nachr., 155 (1992), 231-256.
  • [11] E. M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton University Press, 1970.
  • [12] M. Taibleson and G. Weiss, The molecular characterization of certain Hardy spaces, Asterisque, 77 (1980), 67-149.
  • [13] H. Triebel, Theory of Function Spaces, Birkhauser-Verlag, Basel, Boston and Stuttgart, 1983.
  • [14] G. Weiss, Some Problems in the Theory of Hardy Spaces, Proc. Sympos. Pure Math., vol. 35, Amer. Math. Soc, Providence, RI, 1979, pp. 189-200.