A Class of Integral Operators Induced by Harmonic Bergman-Besov Kernels on Lebesgue Classes
Abstract
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.
Volume
36Issue
13Collections
Related items
Showing items related by title, author, creator and subject.
-
A class of integral operators from lebesgue spaces into harmonic bergman-besov or weighted bloch spaces
Doğan, Ö.F. (Hacettepe University, 2021)We consider a class of two-parameter weighted integral operators induced by harmonic Bergman-Besov kernels on the unit ball of Rn and characterize precisely those that are bounded from Lebesgue spaces Lp? into harmonic ... -
AC Chopper Harmonic Magnitudes in Narrowband Power Line Communication Frequencies
Yener, Şuayb Çağrı; Mutlu, Reşat (IEEE, 2019)Power Line Communication is becoming more common each passing day. Narrowband Power Line Communication systems use a frequency range from 3 kHz to 500 kHz. Nonlinear loads are common in residences and unfortunately they ... -
Power system harmonic analysis of a pulse DC sintering system
Yener, Şuayb Çağrı; Yener, Tuba; Mutlu, Reşat (Iop Publishing Ltd, 2020)Pulse DC Sintering System (PDCS) produces metallic and nonmetallic samples in a cheap and efficient way in a short time. Some PDCS systems possess thyristor-based rectifiers to control their output power. This results in ...