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@article{30280, author = {Engliš, Miroslav}, article_location = {Abingdon}, article_number = {3}, doi = {http://dx.doi.org/10.1080/17476933.2018.1454915}, keywords = {Balanced metric; Bergman kernel; strictly pseudoconvex domain}, language = {eng}, issn = {1747-6933}, journal = {Complex Variables and Elliptic Equations. An International Journal}, title = {Uniqueness of smooth radial balanced metrics on the disc}, url = {https://www.tandfonline.com/doi/abs/10.1080/17476933.2018.1454915?journalCode=gcov20}, volume = {64}, year = {2019} }
TY - JOUR ID - 30280 AU - Engliš, Miroslav PY - 2019 TI - Uniqueness of smooth radial balanced metrics on the disc JF - Complex Variables and Elliptic Equations. An International Journal VL - 64 IS - 3 SP - 519-540 EP - 519-540 PB - Taylor and Francis Ltd. SN - 17476933 KW - Balanced metric KW - Bergman kernel KW - strictly pseudoconvex domain UR - https://www.tandfonline.com/doi/abs/10.1080/17476933.2018.1454915?journalCode=gcov20 L2 - https://www.tandfonline.com/doi/abs/10.1080/17476933.2018.1454915?journalCode=gcov20 N2 - We show that the usual Poincaré metric is the only radial balanced metric on the disc with not too wild boundary behaviour. Additionally, we identify explicitly all radial metrics with such boundary behaviour which satisfy the balanced condition as far as germs at the boundary are concerned. Related results for the annulus and the punctured disc are also established. ER -
ENGLIŠ, Miroslav. Uniqueness of smooth radial balanced metrics on the disc. \textit{Complex Variables and Elliptic Equations. An International Journal}. Abingdon: Taylor and Francis Ltd., 2019, roč.~64, č.~3, s.~519-540. ISSN~1747-6933. Dostupné z: https://dx.doi.org/10.1080/17476933.2018.1454915.
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