A modified franklin system and higher-order spline systems on Rn as unconditional bases for hardy spaces

Fundamental Papers in Wavelet Theory

Volumn , Issue , 2009, Pages 197-215

  Strömberg, Jan Olov ^a  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

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EID: 84866167818     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Chapter

References (11)

1. Bockariev, S. V. Existence of basis in the space of analytic functions in the disc and some properties of the Franklin sys-tem. Mat. Sbornik 95 (1974):3-18 (in Russian).
2. Calderón, A. P., and Torchinsky, A. Parabolic maximal func-tions associated with a distribution. Adv. Math. 16 (1975): 1-64.
3. 1. Institut Mittag-Leffler, Report No. 2, 1980.
4. Ciesielski, Z. Equivalence, unconditionality and convergence a.e. of the spline bases in LP spaces. Approximation theory, Banach Center Publications, vol. 4, pp. 55-68.
5. 1 and VMO. Preprint, 1980.
6. Ciesielski, Z., and Domsta, J. Estimates for the spline ortho-normal functions and for their derivatives. Studia Math. 44 (1972)¡315-320.
7. Ciesielski, Z.; Simon, P.; and Sjölin, P. Equivalence of Haar and Franklin bases in Lp spaces. Studia Math. 60 (1976):195-211.
8. 1. Acta Math. 145 (1980):79-120.
9. Schipp, F., and Simon, P. Investigation of Haar and Franklin series in the Hardy spaces. Preprint, 1980.
10. Sjölin, P., and Strömberg, J.-O. Basis properties of Hardy spaces. University of Stockholm, Report No. 19, 1981.
11. 1. To appear in Arkiv för Matematik.