메뉴 건너뛰기




Volumn 3, Issue 4, 1997, Pages

A New Class of Unbalanced Haar Wavelets That Form an Unconditional Basis for Lp on General Measure Spaces

Author keywords

Haar functions; Martingale; Unconditional basis; Wavelet

Indexed keywords


EID: 1842730279     PISSN: 10695869     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02649107     Document Type: Article
Times cited : (51)

References (24)
  • 1
    • 0347136867 scopus 로고
    • The Cauchy singular integral operator and Clifford wavelets
    • CRC Press, Boca Raton, FL
    • Andersson, L., Jawerth, B., and Mitrea, M. (1993). The Cauchy singular integral operator and Clifford wavelets. Wavelets: Mathematics and Applications. CRC Press, Boca Raton, FL, 525-546.
    • (1993) Wavelets: Mathematics and Applications , pp. 525-546
    • Andersson, L.1    Jawerth, B.2    Mitrea, M.3
  • 5
    • 0001130456 scopus 로고
    • Boundary value problems and sharp inequalities for martingale transforms
    • Burkholder, D. L. (1984). Boundary value problems and sharp inequalities for martingale transforms. Ann. Probab. 12, 647-702.
    • (1984) Ann. Probab. , vol.12 , pp. 647-702
    • Burkholder, D.L.1
  • 6
    • 0038139095 scopus 로고
    • An elementary proof of an inequality of R. E. A. C. Paley
    • Burkholder, D. L. (1985). An elementary proof of an inequality of R. E. A. C. Paley. Bull. London Math. Soc. 17, 474-478.
    • (1985) Bull. London Math. Soc. , vol.17 , pp. 474-478
    • Burkholder, D.L.1
  • 8
    • 34250481191 scopus 로고
    • Extrapolation and interpolation of quasi-linear operators on martingales
    • Burkholder, D. L. and Gundy, R. F. (1970). Extrapolation and interpolation of quasi-linear operators on martingales. Acta Math. 124, 249-304.
    • (1970) Acta Math. , vol.124 , pp. 249-304
    • Burkholder, D.L.1    Gundy, R.F.2
  • 11
    • 0001060230 scopus 로고
    • Contributions to the theory of classical Banach spaces
    • Lindenstrauss, J., and Pełczyński, A. (1971). Contributions to the theory of classical Banach spaces. J. Funct. Anal. 8, 225-249.
    • (1971) J. Funct. Anal. , vol.8 , pp. 225-249
    • Lindenstrauss, J.1    Pełczyński, A.2
  • 13
    • 0010007943 scopus 로고
    • Quelques théorèmes sur les séries orthogonales
    • Marcinkiewicz, J. (1937). Quelques théorèmes sur les séries orthogonales. Ann. Soc. Polon. Math. 16, 84-96.
    • (1937) Ann. Soc. Polon. Math. , vol.16 , pp. 84-96
    • Marcinkiewicz, J.1
  • 16
    • 0039633914 scopus 로고
    • Fourier series and Lebesgue functions
    • Russian
    • Olevskiǐ, A. M. (1967). Fourier series and Lebesgue functions. Uspehi Mat. Nauk. 22, 237-239. (Russian)
    • (1967) Uspehi Mat. Nauk. , vol.22 , pp. 237-239
    • Olevskiǐ, A.M.1
  • 18
    • 51449096088 scopus 로고
    • A remarkable series of orthogonal functions
    • Paley, R. E. A. C. (1932). A remarkable series of orthogonal functions. Proc. London Math. Soc. 34, 241-279.
    • (1932) Proc. London Math. Soc. , vol.34 , pp. 241-279
    • Paley, R.E.A.C.1
  • 19
    • 0041066796 scopus 로고
    • On the impossibility of imbedding the space L in certain Banach spaces
    • Pelłczyński, A. (1961). On the impossibility of imbedding the space L in certain Banach spaces. Colloq. Math. 8, 199-203.
    • (1961) Colloq. Math. , vol.8 , pp. 199-203
    • Pelłczyński, A.1
  • 20
    • 0029179426 scopus 로고
    • Spherical wavelets: Efficiently representing functions on the sphere
    • Schröder P. and Sweldens W. (1995). Spherical wavelets: Efficiently representing functions on the sphere. Computer Graphics Proc. (SIGGRAPH 95), 161-172.
    • (1995) Computer Graphics Proc. (SIGGRAPH 95) , pp. 161-172
    • Schröder, P.1    Sweldens, W.2
  • 21
    • 0003183922 scopus 로고
    • The lifting scheme: A construction of second generation wavelets
    • to appear
    • Sweldens, W. (1995). The lifting scheme: A construction of second generation wavelets. SIAM J. Math. Anal. (to appear).
    • (1995) SIAM J. Math. Anal.
    • Sweldens, W.1
  • 22
    • 30244489068 scopus 로고    scopus 로고
    • The lifting scheme: A custom-design construction of biorthogonal wavelets
    • Sweldens, W. (1996). The lifting scheme: A custom-design construction of biorthogonal wavelets. Appl. Comput. Harmonic Anal., 3, 186-200.
    • (1996) Appl. Comput. Harmonic Anal. , vol.3 , pp. 186-200
    • Sweldens, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.