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## A class of integral operators from Lebesgue spaces into harmonic Bergman-Besov or weighted Bloch spaces

#### Ömer Faruk DOĞAN [1]

We consider a class of two-parameter weighted integral operators induced by harmonic Bergman-Besov kernels on the unit ball of $\mathbb{R}^{n}$ and characterize precisely those that are bounded from Lebesgue spaces $L^{p}_{\alpha}$ into harmonic Bergman-Besov spaces $b^{q}_{\beta}$, weighted Bloch spaces $b^{\infty}_{\beta}$ or the space of bounded harmonic functions $h^{\infty}$, allowing the exponents to be different. These operators can be viewed as generalizations of the harmonic Bergman-Besov projections.
integral operator, harmonic Bergman-Besov kernel, harmonic Bergman-Besov space, weighted harmonic Bloch space, harmonic Bergman-Besov projection
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Primary Language en Mathematics Mathematics Orcid: 0000-0002-0168-1456Author: Ömer Faruk DOĞAN (Primary Author)Institution: TEKIRDAG NAMIK KEMAL UNIVERSITYCountry: Turkey Publication Date : June 7, 2021
 Bibtex @research article { hujms768123, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {}, publisher = {Hacettepe University}, year = {2021}, volume = {50}, pages = {811 - 820}, doi = {10.15672/hujms.768123}, title = {A class of integral operators from Lebesgue spaces into harmonic Bergman-Besov or weighted Bloch spaces}, key = {cite}, author = {Doğan, Ömer Faruk} } APA Doğan, Ö . (2021). A class of integral operators from Lebesgue spaces into harmonic Bergman-Besov or weighted Bloch spaces . Hacettepe Journal of Mathematics and Statistics , 50 (3) , 811-820 . DOI: 10.15672/hujms.768123 MLA Doğan, Ö . "A class of integral operators from Lebesgue spaces into harmonic Bergman-Besov or weighted Bloch spaces" . Hacettepe Journal of Mathematics and Statistics 50 (2021 ): 811-820 Chicago Doğan, Ö . "A class of integral operators from Lebesgue spaces into harmonic Bergman-Besov or weighted Bloch spaces". Hacettepe Journal of Mathematics and Statistics 50 (2021 ): 811-820 RIS TY - JOUR T1 - A class of integral operators from Lebesgue spaces into harmonic Bergman-Besov or weighted Bloch spaces AU - Ömer Faruk Doğan Y1 - 2021 PY - 2021 N1 - doi: 10.15672/hujms.768123 DO - 10.15672/hujms.768123 T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 811 EP - 820 VL - 50 IS - 3 SN - 2651-477X-2651-477X M3 - doi: 10.15672/hujms.768123 UR - https://doi.org/10.15672/hujms.768123 Y2 - 2020 ER - EndNote %0 Hacettepe Journal of Mathematics and Statistics A class of integral operators from Lebesgue spaces into harmonic Bergman-Besov or weighted Bloch spaces %A Ömer Faruk Doğan %T A class of integral operators from Lebesgue spaces into harmonic Bergman-Besov or weighted Bloch spaces %D 2021 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 50 %N 3 %R doi: 10.15672/hujms.768123 %U 10.15672/hujms.768123 ISNAD Doğan, Ömer Faruk . "A class of integral operators from Lebesgue spaces into harmonic Bergman-Besov or weighted Bloch spaces". Hacettepe Journal of Mathematics and Statistics 50 / 3 (June 2021): 811-820 . https://doi.org/10.15672/hujms.768123 AMA Doğan Ö . A class of integral operators from Lebesgue spaces into harmonic Bergman-Besov or weighted Bloch spaces. Hacettepe Journal of Mathematics and Statistics. 2021; 50(3): 811-820. Vancouver Doğan Ö . A class of integral operators from Lebesgue spaces into harmonic Bergman-Besov or weighted Bloch spaces. Hacettepe Journal of Mathematics and Statistics. 2021; 50(3): 811-820. IEEE Ö. Doğan , "A class of integral operators from Lebesgue spaces into harmonic Bergman-Besov or weighted Bloch spaces", Hacettepe Journal of Mathematics and Statistics, vol. 50, no. 3, pp. 811-820, Jun. 2021, doi:10.15672/hujms.768123

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