On Bloch seminorm of finite Blaschke products in the unit disk

Standard

On Bloch seminorm of finite Blaschke products in the unit disk. / Baranov, Anton D.; Kayumov, Ilgiz R.; Nasyrov, Semen R.

In: Journal of Mathematical Analysis and Applications, Vol. 509, No. 2, 125983, 15.05.2022.

Research output: Contribution to journal › Article › peer-review

Harvard

Baranov, AD, Kayumov, IR & Nasyrov, SR 2022, 'On Bloch seminorm of finite Blaschke products in the unit disk', Journal of Mathematical Analysis and Applications, vol. 509, no. 2, 125983. https://doi.org/10.1016/j.jmaa.2021.125983

APA

Baranov, A. D., Kayumov, I. R., & Nasyrov, S. R. (2022). On Bloch seminorm of finite Blaschke products in the unit disk. Journal of Mathematical Analysis and Applications, 509(2), [125983]. https://doi.org/10.1016/j.jmaa.2021.125983

Vancouver

Baranov AD, Kayumov IR, Nasyrov SR. On Bloch seminorm of finite Blaschke products in the unit disk. Journal of Mathematical Analysis and Applications. 2022 May 15;509(2). 125983. https://doi.org/10.1016/j.jmaa.2021.125983

Author

Baranov, Anton D. ; Kayumov, Ilgiz R. ; Nasyrov, Semen R. / On Bloch seminorm of finite Blaschke products in the unit disk. In: Journal of Mathematical Analysis and Applications. 2022 ; Vol. 509, No. 2.

BibTeX

@article{ef3f8d4f564d4ca1933434d1c373ec5a,

title = "On Bloch seminorm of finite Blaschke products in the unit disk",

abstract = "We prove that, for any finite Blaschke product w=B(z) in the unit disk, the corresponding Riemann surface over the w–plane contains a one-sheeted disk of the radius 0.5. Moreover, it contains a unit one-sheeted disk with a radial slit. We apply this result to obtain a universal lower estimate of the Bloch seminorm for finite Blaschke products.",

keywords = "Blaschke product, Bloch seminorm, Bounded analytic function, Riemann surface",

author = "Baranov, {Anton D.} and Kayumov, {Ilgiz R.} and Nasyrov, {Semen R.}",

note = "Publisher Copyright: {\textcopyright} 2021 Elsevier Inc.",

year = "2022",

month = may,

day = "15",

doi = "10.1016/j.jmaa.2021.125983",

language = "English",

volume = "509",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Elsevier",

number = "2",

}

RIS

TY - JOUR

T1 - On Bloch seminorm of finite Blaschke products in the unit disk

AU - Baranov, Anton D.

AU - Kayumov, Ilgiz R.

AU - Nasyrov, Semen R.

PY - 2022/5/15

Y1 - 2022/5/15

N2 - We prove that, for any finite Blaschke product w=B(z) in the unit disk, the corresponding Riemann surface over the w–plane contains a one-sheeted disk of the radius 0.5. Moreover, it contains a unit one-sheeted disk with a radial slit. We apply this result to obtain a universal lower estimate of the Bloch seminorm for finite Blaschke products.

AB - We prove that, for any finite Blaschke product w=B(z) in the unit disk, the corresponding Riemann surface over the w–plane contains a one-sheeted disk of the radius 0.5. Moreover, it contains a unit one-sheeted disk with a radial slit. We apply this result to obtain a universal lower estimate of the Bloch seminorm for finite Blaschke products.

KW - Blaschke product

KW - Bloch seminorm

KW - Bounded analytic function

KW - Riemann surface

UR - http://www.scopus.com/inward/record.url?scp=85122498349&partnerID=8YFLogxK

U2 - 10.1016/j.jmaa.2021.125983

DO - 10.1016/j.jmaa.2021.125983

M3 - Article

AN - SCOPUS:85122498349

VL - 509

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

IS - 2

M1 - 125983

ER -

ID: 100818933