On a Li–Stević integral-type operator from Bloch-type spaces into logarithmic Bloch spaces

References

• Aleman , A. and Siskakis , A. G. 1997 . Integration operators on Bergman spaces . Indiana Univ. Math. J. , 46 ( 2 ) : 337 – 356 .
   Web of Science ®Google Scholar
• Chang , D. C. and Stević , S. 2003 . Estimates of an integral operator on function spaces . Taiwanese J. Math. , 7 ( 3 ) : 423 – 432 .
   Web of Science ®Google Scholar
• Chang , D. , Li , S. and Stević , S. 2007 . On some integral operators on the unit polydisk and the unit ball . Taiwanese J. Math. , 11 ( 5 ) : 1251 – 1285 .
   Web of Science ®Google Scholar
• Cheng , X. 2008 . Compactness of the composition operators from the Dirichlet space 𝒟 to Q K (p, q) . J. Xuzhou Norm. Univ. Nat. Sci. Ed. , 26 ( 3 ) : 54 – 57 .
   Google Scholar
• Clahane , D. and Stević , S. 2006 . Norm equivalence and composition operators between Bloch/Lipschitz spaces of the unit ball . J. Inequal. Appl. , : 11 (2006), Article ID 61018
   Google Scholar
• Cowen , C. C. and MacCluer , B. D. 1995 . Composition Operators on Spaces of Analytic Functions , Boca Raton, FL, USA : CRC Press . Studies in Advanced Mathematics
   Google Scholar
• Galanopoulos , P. 2008 . On to pullbacks . J. Math. Anal. Appl. , 337 ( 1 ) : 712 – 725 .
   Google Scholar
• Guo , J. 2006 . Composition operators from spaces to ℬ0 and 𝒟 . J. Xuzhou Norm. Univ. Nat. Sci. Ed. , 24 ( 3 ) : 11 – 15 .
   Google Scholar
• He , W. and Jiang , L. 2002 . Composition operators on Bers-type spaces . Acta Math. Sci. Ser. B, Engl. Ed. , 22 ( 3 ) : 404 – 412 .
   Web of Science ®Google Scholar
• Hu , Z. 2003 . Extended Cesàro operators on mixed norm spaces . Proc. Amer. Math. Soc. , 131 ( 7 ) : 2171 – 2179 .
   Web of Science ®Google Scholar
• Hu , Z. 2003 . Extended Cesàro operators on the Bloch space in the unit ball of ℂn . Acta Math. Sci. Ser. B Engl. Ed. , 23 ( 4 ) : 561 – 566 .
   Web of Science ®Google Scholar
• Hu , Z. 2004 . Extended Cesàro operators on Bergman spaces . J. Math. Anal. Appl. , 296 ( 2 ) : 435 – 454 .
   Google Scholar
• Koo , H. and Smith , W. 2007 . Composition operators induced by smooth self-maps of the unit ball in ℂn . J. Math. Anal. Appl. , 329 ( 1 ) : 617 – 633 .
   Google Scholar
• Li , S. 2005 . Weighted composition operator from Bergman spaces into weighted Bloch spaces . Commun. Korean Math. Soc. , 20 ( 1 ) : 63 – 70 .
   Google Scholar
• Li , S. 2006 . Riemann–Stieltjes operators from F(p, q, s) to Bloch space on the unit ball . J. Inequal. Appl. , : 14 (2006), Article ID 27874
   Google Scholar
• Li , S. 2008 . Volterra composition operators between weighted Bergman spaces and Bloch-type spaces . J. Korean Math. Soc. , 45 ( 1 ) : 229 – 248 .
   Google Scholar
• Li , S. and Stević , S. 2007 . Integral type operators from mixed-norm spaces to α-Bloch spaces . Integral Transforms Spec. Funct. , 18 ( 7–8 ) : 485 – 493 .
   Google Scholar
• Li , S. and Stević , S. 2007 . Riemann—Stieltjes operators on Hardy spaces in the unit ball of ℂn . Bull. Belg. Math. Soc. Simon Stevin. , 14 ( 4 ) : 621 – 628 .
   Google Scholar
• Li , S. and Stević , S. 2007 . Riemann—Stieltjes type integral operators on the unit ball in ℂn . Complex Var. Elliptic Funct. , 52 ( 6 ) : 495 – 517 .
   Google Scholar
• Li , S. and Stević , S. 2007 . Weighted composition operators from H∞ to the Bloch space on the polydisc . Abstr. Appl. Anal. , : 13 (2007), Article ID 48478
   Google Scholar
• Li , S. and Stević , S. 2007 . Volterra-type operators on Zygmund spaces . J. Inequal. Appl. , : 10 Article ID 32124, DOI:10.1155/2007/32124
   Google Scholar
• Li , S. and Stević , S. 2008 . Riemann—Stieltjes operators between mixed norm spaces . Indian J. Math. , 50 ( 1 ) : 177 – 188 .
   Google Scholar
• Li , S. and Stević , S. 2008 . Products of composition and integral type operators from H∞ to the Bloch space . Complex Var. Elliptic Funct. , 53 ( 5 ) : 463 – 474 .
   Web of Science ®Google Scholar
• Li , S. and Stević , S. 2008 . Products of Volterra type operator and composition operator from H ∞ and Bloch spaces to the Zygmund space . J. Math. Anal. Appl. , 345 ( 1 ) : 40 – 52 .
   Google Scholar
• Li , S. and Stević , S. 2008 . Compactness of Riemann–Stieltjes operators between F(p, q, s) and α-Bloch spaces . Publ. Math. Debrecen , 72 ( 1–2 ) : 111 – 128 .
   Google Scholar
• Li , S. and Stević , S. 2008 . Generalized composition operators on Zygmund spaces and Bloch type spaces . J. Math. Anal. Appl. , 338 ( 2 ) : 1282 – 1295 .
   Web of Science ®Google Scholar
• Li , S. and Stević , S. 2009 . Products of integral-type operators and composition operators between Bloch-type spaces . J. Math. Anal. Appl. , 349 ( 2 ) : 596 – 610 .
   Google Scholar
• MacCluer , B. and Shapiro , J. 1986 . Angular derivatives and compact composition operators on the Hardy and Bergman spaces . Canad. J. Math. , 38 ( 4 ) : 878 – 906 .
   Web of Science ®Google Scholar
• MacCluer , B. and Zhao , R. 2003 . Essential norms of weighted composition operators between Bloch-type spaces . Rocky Mountain J. Math. , 33 ( 4 ) : 1437 – 1458 .
   Web of Science ®Google Scholar
• Madigan , K. and Matheson , A. 1995 . Compact composition operators on the Bloch space . Trans. Am. Math. Soc. , 347 ( 7 ) : 2679 – 2687 .
   Web of Science ®Google Scholar
• Montes-Rodriguez , A. 2000 . Weighted composition operators on weighted Banach spaces of analytic functions . J. London Math. Soc. Second Ser. , 61 ( 3 ) : 872 – 884 .
   Web of Science ®Google Scholar
• Ohno , S. 2001 . Weighted composition operators between H∞ and the Bloch space . Taiwanese J. Math. , 5 ( 3 ) : 555 – 563 .
   Web of Science ®Google Scholar
• Ohno , S. , Stroethoff , K. and Zhao , R. 2003 . Weighted composition operators between Bloch-type spaces . Rocky Mountain J. Math. , 33 ( 1 ) : 191 – 215 .
   Web of Science ®Google Scholar
• Shapiro , J. 1993 . Composition Operators and Classical Function Theory , New York : Springer-Verlag .
   Google Scholar
• Stević , S. 2005 . On an integral operator on the unit ball in ℂn . J. Inequal. Appl. , 2005 ( 1 ) : 81 – 88 .
   Google Scholar
• Stević , S. 2006 . Boundedness and compactness of an integral operator on a weighted space on the polydisc . Indian J. Pure Appl. Math. , 37 ( 6 ) : 343 – 355 .
   Web of Science ®Google Scholar
• Stević , S. 2007 . Boundedness and compactness of an integral operator on mixed norm spaces on the polydisc . Sibirsk. Mat. Zh. , 48 ( 3 ) : 694 – 706 .
   Web of Science ®Google Scholar
• Tang , X. 2007 . Extended Cesàro operators between Bloch-type spaces in the unit ball of ℂn . J. Math. Anal. Appl. , 326 ( 2 ) : 1199 – 1211 .
   Google Scholar
• Xiao , J. 2001 . “ Holomorphic Q Classes ” . Vol. 1767 , Berlin : Springer-Verlag . Lecture Notes in Mathematics
   Google Scholar
• Xiao , J. 2004 . Riemann—Stieltjes operators on weighted Bloch and Bergman spaces of the unit ball . J. London Math. Soc. Second Ser. , 70 ( 1 ) : 199 – 214 .
   Google Scholar
• Ye , S. 2006 . Multipliers and cyclic vectors on weighted Bloch type space . Math. J. Okayama Univ. , 48 : 135 – 143 .
   Google Scholar
• Ye , S. 2007 . Weighted composition operator between different weighted Bloch type spaces . Acta Math. Sin. Chinese Ser. , 50 ( 4 ) : 927 – 942 .
   Google Scholar
• Ye , S. 2008 . Weighted composition operator from the general function space F(p, q,s) into the logarithmic Bloch space . J. Korean Math. Soc. , 45 ( 4 ) : 977 – 991 .
   Web of Science ®Google Scholar
• Yoneda , R. 2001 . Integration operators on weighted Bloch spaces (English summary) . Nihonkai Math. J. , 12 ( 2 ) : 123 – 133 .
   Google Scholar
• Yoneda , R. 2002 . The composition operators on weighted Bloch space . Arch. Math. , 78 ( 4 ) : 310 – 317 .
   Google Scholar
• Yoneda , R. 2004 . Pointwise multipliers from BMOAα to BMOAβ . Complex Var. Theory Appl. , 49 ( 14 ) : 1045 – 1061 .
   Google Scholar
• Yoneda , R. 2005 . Multiplication operators, integration operators and companion operators on weighted Bloch space (English summary) . Hokkaido Math. J. , 34 ( 1 ) : 135 – 147 .
   Google Scholar
• Yu , Y. 2007 . Products of several composition operators on weighted Bergman spaces (Chinese) . J. Xuzhou Norm. Univ. Nat. Sci. Ed. , 25 ( 1 ) : 22 – 25 .
   Google Scholar
• Yu , Y. and Liu , Y. 2009 . Integral-type operators from weighted Bloch spaces into Bergman-type spaces . Integral Transform. Spec. Funct. , 20 ( 6 ) : 419 – 428 . DOI: 10.1080/10652460802576161
   Web of Science ®Google Scholar
• Zhang , F. and Wang , F. 2007 . Composition operators on the space F(p, q, s) (Chinese) . J. Xuzhou Norm. Univ. Nat. Sci. Ed. , 25 ( 1 ) : 26 – 29 .
   Google Scholar
• Zhu , K. 1990 . Operator Theory in Function Spaces , New York : Marcel Dekker .
   Google Scholar