102
Views
71
CrossRef citations to date
0
Altmetric
Original Articles

Products of composition and integral type operators from H to the Bloch space

&
Pages 463-474 | Received 20 Mar 2007, Accepted 11 Oct 2007, Published online: 15 Apr 2008

References

  • Benke , G and Chang , DC . 2000 . A note on weighted Bergman spaces and the Cesàro operator . Nagoya Mathematical Journal , 159 : 25 – 43 .
  • Cowen , CC and MacCluer , BD . 1995 . Composition Operators on Spaces of Analytic Functions , Boca Raton, FL : CRC Press .
  • Madigan , K and Matheson , A . 1995 . Compact composition operators on the Bloch space . Transaction of the American Mathematical Society , 347 ( 7 ) : 2679 – 2687 .
  • Hu , ZJ . 2003 . Extended Cesàro operators on the Bloch space in the unit ball of ℂ n . Acta Mathematical Scientia Series B. English Edition , 23 ( 4 ) : 561 – 566 .
  • Hu , ZJ . 2004 . Extended Cesàro operators on Bergman spaces . Journal of Mathematical Analysis and Application , 296 : 435 – 454 .
  • Li , S . 2006 . Riemann-Stieltjes operators between Bergman type spaces and α-Bloch spaces . International Journal of Mathematics and Mathematical Sciences , 2006 : 1 – 17 . Article ID 86259
  • Li , S and Stević , S . 2007 . Riemann-Stieltjies type integral operators on the unit ball in ℂ n . Complex Variables Elliptic Functions , 52 ( 6 ) : 495 – 517 .
  • Ohno , S . 2001 . Weighted composition operators between H ∞ and the Bloch space . Taiwanese Journal of Mathematics , 5 ( 2 ) : 555 – 563 .
  • Ohno , S , Stroethoff , K and Zhao , R . 2003 . Weighted composition operators between Bloch-type spaces . Rocky Mountain Journal of Mathematics , 33 ( 1 ) : 191 – 215 .
  • Pommerenke , Ch . 1977 . Schlichte funktionen und analytische funktionen von beschränkter mittlerer oszillation . Commentarii Mathematici Helvetici , 52 : 591 – 602 .
  • Siskakis , AG and Zhao , R . 1999 . A Volterra type operator on spaces of analytic functions . Contemporary Mathematics , 232 : 299 – 311 .
  • Stević , S . 2003 . Cesàro averaging operators . Mathematische Nachrichten , 248–249 : 185 – 189 .
  • Stević , S . 2005 . On an integral operator on the unit ball in ℂ n . Journal of Inequalities and Applications , 1 : 81 – 88 .
  • Stević , S . 2006 . Boundedness and compactness of an integral operator on a weighted space on the polydisc . Indian Journal of Pure Applied Mathematics , 37 ( 6 ) : 343 – 355 .
  • Stević , S . 2007 . Boundedness and compactness of an integral operator on a mixed norm space on the polydisk . Sibirskii Matematicheskii Zhurnal , 48 ( 3 ) : 694 – 706 .
  • Zhu , K . 1990 . Operator Theory in Function Space , New York : Marcel Dekker .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.