Istanbul Journal of Mathematics

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DOI :10.26650/ijmath.2024.00017   IUP :10.26650/ijmath.2024.00017    Tam Metin (PDF)

Backward Shift Operators on Bergman-Besov Spaces as Bergman Projections

Hakkı Turgay Kaptanoğlu

We express backward shift operators on all Bergman-Besov spaces in terms of Bergman projections in one and several variables including the Banach function spaces and the special Hilbert spaces such as Drury-Arveson and Dirichlet spaces. These operators are adjoints of the shift operators and their definitions for the case 𝑝 = 1 and proper Besov spaces require the use of nontrivial imbeddings of the spaces into Lebesgue classes. Our results indicate that the backward shifts are compositions of imbeddings into Lebesgue classes followed by multiplication operators by the conjugates of the coordinate variables followed by Bergman projections on appropriate spaces. We apply our results to the wandering subspace property of invariant subspaces of the shift operators on certain of our Hilbert spaces.

Anahtar Kelimeler: Backward shift operator, Bergman projection, Wandering subspace property, Bergman-Besov space, Hardy space, Dirichlet space, Drury-Arveson space

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Referanslar

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APA

Kaptanoğlu, H.T. (2024). Backward Shift Operators on Bergman-Besov Spaces as Bergman Projections. Istanbul Journal of Mathematics, 2(2), 70-81. https://doi.org/10.26650/ijmath.2024.00017


AMA

Kaptanoğlu H T. Backward Shift Operators on Bergman-Besov Spaces as Bergman Projections. Istanbul Journal of Mathematics. 2024;2(2):70-81. https://doi.org/10.26650/ijmath.2024.00017


ABNT

Kaptanoğlu, H.T. Backward Shift Operators on Bergman-Besov Spaces as Bergman Projections. Istanbul Journal of Mathematics, [Publisher Location], v. 2, n. 2, p. 70-81, 2024.


Chicago: Author-Date Style

Kaptanoğlu, Hakkı Turgay,. 2024. “Backward Shift Operators on Bergman-Besov Spaces as Bergman Projections.” Istanbul Journal of Mathematics 2, no. 2: 70-81. https://doi.org/10.26650/ijmath.2024.00017


Chicago: Humanities Style

Kaptanoğlu, Hakkı Turgay,. “Backward Shift Operators on Bergman-Besov Spaces as Bergman Projections.” Istanbul Journal of Mathematics 2, no. 2 (Feb. 2025): 70-81. https://doi.org/10.26650/ijmath.2024.00017


Harvard: Australian Style

Kaptanoğlu, HT 2024, 'Backward Shift Operators on Bergman-Besov Spaces as Bergman Projections', Istanbul Journal of Mathematics, vol. 2, no. 2, pp. 70-81, viewed 5 Feb. 2025, https://doi.org/10.26650/ijmath.2024.00017


Harvard: Author-Date Style

Kaptanoğlu, H.T. (2024) ‘Backward Shift Operators on Bergman-Besov Spaces as Bergman Projections’, Istanbul Journal of Mathematics, 2(2), pp. 70-81. https://doi.org/10.26650/ijmath.2024.00017 (5 Feb. 2025).


MLA

Kaptanoğlu, Hakkı Turgay,. “Backward Shift Operators on Bergman-Besov Spaces as Bergman Projections.” Istanbul Journal of Mathematics, vol. 2, no. 2, 2024, pp. 70-81. [Database Container], https://doi.org/10.26650/ijmath.2024.00017


Vancouver

Kaptanoğlu HT. Backward Shift Operators on Bergman-Besov Spaces as Bergman Projections. Istanbul Journal of Mathematics [Internet]. 5 Feb. 2025 [cited 5 Feb. 2025];2(2):70-81. Available from: https://doi.org/10.26650/ijmath.2024.00017 doi: 10.26650/ijmath.2024.00017


ISNAD

Kaptanoğlu, HakkıTurgay. “Backward Shift Operators on Bergman-Besov Spaces as Bergman Projections”. Istanbul Journal of Mathematics 2/2 (Feb. 2025): 70-81. https://doi.org/10.26650/ijmath.2024.00017



ZAMAN ÇİZELGESİ


Gönderim10.10.2024
Kabul25.12.2024
Çevrimiçi Yayınlanma31.12.2024

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