Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.13087/1080
Title: Singular Integral Operators with Bergman-Besov Kernels on the Ball
Authors: Kaptanoğlu, H. Turgay
Üreyen, A. Ersin
Keywords: Integral operator
Bergman-Besov kernel
Bergman-Besov space
Bloch-Lipschitz space
Bergman-Besov projection
Radial fractional derivative
Schur test
Forelli-Rudin estimate
Inclusion relation
Issue Date: 2019
Publisher: Springer Basel Ag
Abstract: We completely characterize in terms of the six parameters involved the boundedness of all standard weighted integral operators induced by Bergman-Besov kernels acting between different Lebesgue classes with standard weights on the unit ball of CN. The integral operators generalize the Bergman-Besov projections. To find the necessary conditions for boundedness, we employ a new versatile method that depends on precise imbedding and inclusion relations among various holomorphic function spaces. The sufficiency proofs are by Schur tests or integral inequalities.
URI: https://doi.org/10.1007/s00020-019-2528-0
https://hdl.handle.net/20.500.13087/1080
ISSN: 0378-620X
1420-8989
Appears in Collections:Matematik Bölümü Koleksiyonu
WoS İndeksli Yayınlar Koleksiyonu

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