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Corrigendum to “Remarks on Lp -oscillation of the modulus of a holomorphic function” [J. Math. Anal. Appl. 326 (2007) 1–11]
J. Math. Anal. Appl. 341 (2008) 750 www.elsevier.com/locate/jmaa
Corrigendum
Corrigendum to “Remarks on Lp -oscillation of the modulus of a holomorphic function” [J. Math. Anal. Appl. 326 (2007) 1–11] Miroslav Pavlovi´c Matematiˇcki fakultet, Studentski Trg 16, 11001 Belgrade, p.p. 550, Serbia Available online 6 November 2007
Four misprints should be corrected: • Inequality (3) should be stated as 2 f (z) sup f (w) − f (z): w ∈ Dε (z) . ε • The oscillation osc(u; z, ε) (after Eq. (4)) should be written as osc(u; z, ε) = sup u(w) − u(z): w ∈ Dε (z) . • The inequality at the bottom of page 3 should be written as p 4p+1 f (z) (u+ )p dm. ε p+2 Dε (z)
• The integrand in Proposition 1 should be equal |fw | − |fz |p . p
DOI of original article: 10.1016/j.jmaa.2006.02.035. E-mail address: [email protected]. 0022-247X/$ – see front matter © 2006 Elsevier Inc. All rights reserved. doi:10.1016/j.jmaa.2007.10.042
Corrigendum
Corrigendum to “Remarks on Lp -oscillation of the modulus of a holomorphic function” [J. Math. Anal. Appl. 326 (2007) 1–11] Miroslav Pavlovi´c Matematiˇcki fakultet, Studentski Trg 16, 11001 Belgrade, p.p. 550, Serbia Available online 6 November 2007
Four misprints should be corrected: • Inequality (3) should be stated as 2 f (z) sup f (w) − f (z): w ∈ Dε (z) . ε • The oscillation osc(u; z, ε) (after Eq. (4)) should be written as osc(u; z, ε) = sup u(w) − u(z): w ∈ Dε (z) . • The inequality at the bottom of page 3 should be written as p 4p+1 f (z) (u+ )p dm. ε p+2 Dε (z)
• The integrand in Proposition 1 should be equal |fw | − |fz |p . p
DOI of original article: 10.1016/j.jmaa.2006.02.035. E-mail address: [email protected]. 0022-247X/$ – see front matter © 2006 Elsevier Inc. All rights reserved. doi:10.1016/j.jmaa.2007.10.042