Square-like Functions Generated by a Composite Wavelet Transform

Aliev I. A., Bayrakci S.

Mediterranean Journal of Mathematics, cilt.8, sa.4, ss.553-561, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 4
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1007/s00009-010-0084-6
  • Dergi Adı: Mediterranean Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.553-561
  • Anahtar Kelimeler: Square functions, wavelet transform, Calderon reproducing formula, semigroup, convolution
  • Akdeniz Üniversitesi Adresli: Evet

Özet

The classical square functions play important role in Harmonic Analysis and have a very direct connection with L2-estimates and Littlewood-Paley theory. In this paper we introduce a new variant of square-like functions generated by some composite wavelet transform. We establish Calderón-type reproducing formula and then prove L2-boundedness of newly defined square-like functions. © 2010 Springer Basel AG.