Skip to main content
Log in

The Banach spaceH 1(X, d, μ). I

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  • [C] L. Carleson: An explicit unconditional basis inH 1. Bull. Sc. Math.104 (1980), 405–416.

    Google Scholar 

  • [Ch] M. Christ: Lectures on Singular Integral Operators. CBMS Regional Conference Series in Math # 77 (1990)

  • [C-W] R. Coifman, G. Weiss: Extensions of Hardy spaces and their use in Analysis. Bull. Amer. Math. Soc.83C (1977), 569–645

    Google Scholar 

  • [C-Wi-Wo] S. Chang, J. Wilson, T. Wolff: Some weighted norm inequalities concerning the Schrödinger Operators. Comm. Math. Helv.60 (1985), 217–246

    Google Scholar 

  • [Dv] G. David: Wavelets and Singular Integrals. Springer LNM 1465, 1991

  • [G] A. Garsia: Martingale Inequalities. Seminar Notes, W.A. Benjamin, 1973

  • [H] Y.-S. Han: Triebel-Lizorkin spaces on spaces of homogeneous type. Studia Math.108 (1994) 247–273

    Google Scholar 

  • [H-J-T-W] Y. Han, B. Jawerth, M. Taibleson, G. Weiss: Littlewood-Paley and ɛ-Families of Operators. Colloq. Math.60/61 (1990), 321–359

    Google Scholar 

  • [J-K] D.S. Jersion, C.E. Kenig: Boundary Behavior of Harmonic Functions in Nontangentially Accessible Domains. Advances in Math.46 (1982), 80–147

    Google Scholar 

  • [M-S1] R. Macias, C. Segovia: Lipschitz functions on spaces of homogeneous type, Adv. Math.33 (1979), 257–270

    Google Scholar 

  • [M-S2] R. Macias, C. Segovia: A decomposition into atoms of distributions on spaces of homogeneous type. ibid, 271–309

    Google Scholar 

  • [Ma] B. Maurey: Isomorphism entres espacesH 1. Acta Math.145 (1980), 79–120

    Google Scholar 

  • [Mü] P.F.X. Müller: On linear topological properties ofH 1 on spaces of homogeneous type. Trans. Amer. Math. Soc.317 (1990), 463–484

    Google Scholar 

  • [N] A. Nahmod: Generalized Uncertainty Principles on Spaces of Homogeneous Type. J. Funct. Anal.119 (1994), 172–209

    Google Scholar 

  • [Wi] J.M. Wilson: Weighted norm inequalities for the continuous square function. Trans. Amer. Math. Soc.314 (1989), 661–692

    Google Scholar 

  • [Woj1] P. Wojtaszczyk: The Franklin system is an unconditional basis inH 1. Ark. f. Mat. (20) (1982), 293–300

    Google Scholar 

  • [Woj2] P. Wojtaszczyk: The Banach SpaceH 1, in Functional Analysis: Surveys and Recent Results III. K.D. Bierstedt, B. Fuchssteiner (eds.) North Holland (1984)

  • [Woj3] P. Wojtaszczyk: Banach Spaces for Analysts. Cambridge University Press (1991)

  • [Wol] T. Wolniewicz: On Isomorphism between Hardy spaces on complex balls. Ark. Math.27 (1987), 155–168

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Müller, P.F.X. The Banach spaceH 1(X, d, μ). I. Math. Ann. 303, 499–521 (1995). https://doi.org/10.1007/BF01461002

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01461002

Mathematics Subject Classifications (1991)

Navigation