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DOI :10.26650/ijmath.2023.00007   IUP :10.26650/ijmath.2023.00007    Full Text (PDF)

Positive Toeplitz Operators from aWeighted Harmonic Bloch Space into Another

Ömer Faruk Doğan

In the present paper, we define positive general Toeplitz operators between weighted harmonic Bloch spaces 𝑏∞𝛼 on the unit ball of R𝑛 for the full range of parameter 𝛼 ∈ R, where symbols are positive Borel measures on the unit ball of R𝑛. We characterize the boundedness and compactness of Toeplitz operators from one weighted harmonic Bloch space into another in terms of Carleson measures and vanishing Carleson measures. Recently, in Doğan (2022), positive symbols of bounded and compact general Toeplitz operators between harmonic Bergman-Besov spaces are completely characterized in term of Carleson measures and vanishing Carleson measures. Our results extend those known for harmonic Bloch space.

Keywords: toeplitz operator, harmonic Bergman-Besov space, weighted harmonic Bloch space, carleson measure

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Citations

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APA

Doğan, Ö.F. (2023). Positive Toeplitz Operators from aWeighted Harmonic Bloch Space into Another. Istanbul Journal of Mathematics, 1(2), 57-66. https://doi.org/10.26650/ijmath.2023.00007


AMA

Doğan Ö F. Positive Toeplitz Operators from aWeighted Harmonic Bloch Space into Another. Istanbul Journal of Mathematics. 2023;1(2):57-66. https://doi.org/10.26650/ijmath.2023.00007


ABNT

Doğan, Ö.F. Positive Toeplitz Operators from aWeighted Harmonic Bloch Space into Another. Istanbul Journal of Mathematics, [Publisher Location], v. 1, n. 2, p. 57-66, 2023.


Chicago: Author-Date Style

Doğan, Ömer Faruk,. 2023. “Positive Toeplitz Operators from aWeighted Harmonic Bloch Space into Another.” Istanbul Journal of Mathematics 1, no. 2: 57-66. https://doi.org/10.26650/ijmath.2023.00007


Chicago: Humanities Style

Doğan, Ömer Faruk,. “Positive Toeplitz Operators from aWeighted Harmonic Bloch Space into Another.” Istanbul Journal of Mathematics 1, no. 2 (May. 2024): 57-66. https://doi.org/10.26650/ijmath.2023.00007


Harvard: Australian Style

Doğan, ÖF 2023, 'Positive Toeplitz Operators from aWeighted Harmonic Bloch Space into Another', Istanbul Journal of Mathematics, vol. 1, no. 2, pp. 57-66, viewed 19 May. 2024, https://doi.org/10.26650/ijmath.2023.00007


Harvard: Author-Date Style

Doğan, Ö.F. (2023) ‘Positive Toeplitz Operators from aWeighted Harmonic Bloch Space into Another’, Istanbul Journal of Mathematics, 1(2), pp. 57-66. https://doi.org/10.26650/ijmath.2023.00007 (19 May. 2024).


MLA

Doğan, Ömer Faruk,. “Positive Toeplitz Operators from aWeighted Harmonic Bloch Space into Another.” Istanbul Journal of Mathematics, vol. 1, no. 2, 2023, pp. 57-66. [Database Container], https://doi.org/10.26650/ijmath.2023.00007


Vancouver

Doğan ÖF. Positive Toeplitz Operators from aWeighted Harmonic Bloch Space into Another. Istanbul Journal of Mathematics [Internet]. 19 May. 2024 [cited 19 May. 2024];1(2):57-66. Available from: https://doi.org/10.26650/ijmath.2023.00007 doi: 10.26650/ijmath.2023.00007


ISNAD

Doğan, ÖmerFaruk. “Positive Toeplitz Operators from aWeighted Harmonic Bloch Space into Another”. Istanbul Journal of Mathematics 1/2 (May. 2024): 57-66. https://doi.org/10.26650/ijmath.2023.00007



TIMELINE


Submitted04.06.2023
Accepted08.12.2023
Published Online18.12.2023

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