A Class of Integral Operators Induced by Harmonic Bergman-Besov Kernels on Lebesgue Classes
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Dosyalar
Tarih
2022
Yazarlar
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Yayıncı
Univ Nis, Fac Sci Math
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
We provide a full characterization in terms of the six parameters involved the boundedness of all standard weighted integral operators induced by harmonic Bergman-Besov kernels acting between different Lebesgue classes with standard weights on the unit ball of R-n. These operators in some sense generalize the harmonic Bergman-Besov projections. To obtain the necessity conditions, we use a technique that heavily depends on the precise inclusion relations between harmonic Bergman-Besov and weighted Bloch spaces on the unit ball. This fruitful technique is new. It has been used first with holomorphic Bergman-Besov kernels by Kaptanoglu and Ureyen. Methods of the sufficiency proofs we employ are Schur tests or Holder or Minkowski type inequalities which also make use of estimates of Forelli-Rudin type integrals.
Açıklama
Anahtar Kelimeler
Integral operator, Harmonic Bergman-Besov kernel, Harmonic Bergman-Besov space, Weighted harmonic Bloch space, Harmonic Bergman-Besov projection, Schur test, Forelli-Rudin estimate, Inclusion relation, Unit Ball, Weighted Bloch, Spaces, Projections
Kaynak
Filomat
WoS Q Değeri
Q3
Scopus Q Değeri
Q3
Cilt
36
Sayı
13