Differences of Stević–Sharma operators

Banach Journal of Mathematical Analysis - Tập 14 Số 3 - Trang 1019-1054 - 2020
Shuming Wang1, Maofa Wang1, Xin Guo1
1School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

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Acharyya, S., Ferguson, T.: Sums of weighted differentiation composition operators. Complex Anal. Oper. Theory 13, 1465–1479 (2019)

Acharyya, S., Wu, Z.: Compact and Hilbert–Schmidt differences of weighted composition operators. Integral Equ. Oper Theory 88, 465–482 (2017)

Bear, H.: Lectures on Gleason Parts. Lecture Notes in Mathematics. Springer-Verlag, Berlin-New York (1970)

Choe, B., Hosokawa, T., Koo, H.: Hilbert–Schmidt differences of composition operators on the Bergman space. Math. Z. 269, 751–775 (2011)

Choe, B., Koo, H., Wang, M., Yang, J.: Compact linear combinations of composition operators induced by linear fractional maps. Math. Z. 280, 807–824 (2015)

Choe, B., Koo, H., Wang, M.: Compact double differences of composition operators on the Bergman spaces. J. Funct. Anal. 272, 2273–2307 (2017)

Contreras, M., Hernández-Díaz, A.: Weighted composition operators on spaces of functions with derivative in a Hardy space. J. Oper. Thoery 52, 173–184 (2004)

Cowen, C., MacCluer, B.: Composition operators on spaces of analytic functions. CRC Press, Boca Raton (1995)

Diestel, J., Jarchow, H., Tonge, A.: Absolutely summing operators. Cambridge University Press, Cambridge (1995)

Galanopoulos, P., Girela, D., Peláez, J., Siskakis, A.: Generalized Hilbert operators. Ann. Acad. Sci. Fenn. Math. 39, 231–258 (2014)

Girela, D., Peláez, J.: Carleson measures, multipliers and integration operators for spaces of Dirichlet type. J. Funct. Anal. 241, 334–358 (2006)

Guo, X., Wang, M.: Difference of weighted composition operators on the space of Cauchy integral transforms. Taiwan. J. Math. 22, 1435–1450 (2018)

Hai, P., Putinar, M.: Complex symmetric differential operators on Fock space. J. Differ. Equ. 265, 4213–4250 (2018)

Hedenmalm, H., Korenblum, B., Zhu, K.: Theory of Bergman Spaces. Springer, New York (2000)

Hosokawa, T.: Differences of weighted composition operators on the Bloch spaces. Complex Anal. Oper. Theory 3, 847–866 (2009)

Hosokawa, T., Ohno, S.: Differences of composition operators on the Bloch spaces. J. Oper. Theory 57, 229–242 (2007)

Hosokawa, T., Ohno, S.: Differences of weighted composition operators from $$H^\infty $$ to Bloch space. Taiwan. J. Math. 16, 2093–2105 (2012)

Hu, Q., Li, S., Shi, Y.: A new characterization of differences of weighted composition operators on weighted-type spaces. Comput. Method Funct. Theory 17, 303–318 (2017)

Hunziker, H., Jarchow, H.: Composition operators which improve integrability. Math. Nachr. 152, 83–99 (1991)

Jiang, Z., Stević, S.: Compact differences of weighted composition operators from weighted Bergman spaces to weighted-type spaces. Appl. Math. Comput. 217, 3522–3530 (2010)

Koo, H., Wang, M.: Joint Carleson measure and the difference of composition operators on $$A^p_\alpha ({\mathbb{B}}_n)$$. J. Math. Anal. Appl. 419, 1119–1142 (2014)

Koo, H., Wang, M.: Cancellation properties of composition operators on Bergman spaces. J. Math. Anal. Appl. 432, 1174–1182 (2015)

Lin, Q., Liu, J., Wu, Y.: Volterra type operators on $$S^p({\mathbb{D}})$$ spaces. J. Math. Anal. Appl. 461, 1100–1114 (2018)

Liu, Y., Yu, Y.: Products of composition, multiplication and radial derivative operators from logarithmic Bloch spaces to weighted-type spaces on the unit ball. J. Math. Anal. Appl. 423, 76–93 (2015)

Liu, Y., Yu, Y.: On an extension of Stević-Sharma operator from the general space to weighted-type spaces on the unit ball. Complex Anal. Oper. Theory 11, 261–288 (2017)

Moorhouse, J.: Compact differences of composition operators. J. Funct. Anal. 219, 70–92 (2005)

Nieminen, P.: Compact differences of composition operators on Bloch and Lipschitz spaces. Comput. Method Funct. Theory 7, 325–344 (2007)

Peláez, J., Pérez-González, F., Rättyä, J.: Operator theoretic differences between Hardy and Dirichlet-type spaces. J. Math. Anal. Appl. 418, 387–402 (2014)

Saukko, E.: An application of atomic decomposition in Bergman spaces to the study of differences of composition operators. J. Funct. Anal. 262, 3872–3890 (2012)

Sharma, A.: On order bounded weighted composition operators between Dirichlet spaces. Positivity 21, 1213–1221 (2017)

Sharma, M., Sharma, A.: On order bounded difference of weighted composition operators between Hardy spaces. Complex Anal. Oper. Theory 13, 2191–2201 (2019)

Shi, Y., Li, S.: Differences of composition operators on Bloch type spaces. Complex Anal. Oper. Theory 11, 227–242 (2017)

Stević, S., Sharma, A., Bhat, A.: Products of multiplication composition and differentiation operators on weighted Bergman spaces. Appl. Math. Comput. 217, 8115–8125 (2011)

Stević, S., Sharma, A., Bhat, A.: Essential norm of products of multiplication composition and differentiation operators on weighted Bergman spaces. Appl. Math. Comput. 218, 2386–2397 (2011)

Ueki, S.: Order bounded weighted composition operators mapping into the Bergman space. Complex Anal. Oper. Theory 6, 549–560 (2012)

Wang, S., Wang, M., Guo, X.: Products of composition, multiplication and iterated differentiation operators between Banach spaces of holomorphic functions, Taiwanese J. Math., https://doi.org/10.11650/tjm/190405

Weidmann, J.: Linear operators in Hilbert spaces. Springer-Verlag, New York-Berlin (1980)

Yu, Y., Liu, Y.: On Stević type operator from $$H^\infty $$ space to the logarithmic Bloch spaces. Complex Anal. Oper. Theory 9, 1759–1780 (2015)

Zhang, F., Liu, Y.: On a Stević-Sharma operator from Hardy spaces to Zygmund-type spaces on the unit disk. Complex Anal. Oper. Theory 12, 81–100 (2018)

Zhang, L., Zhou, Z.: Hilbert-Schmidt differences of composition operators between the weighted Bergman spaces on the unit ball. Banach J. Math. Anal. 7, 160–172 (2013)

Zhao, R.: Essential norms of composition operators between Bloch type spaces. Proc. Amer. Math. Soc. 138, 2537–2546 (2010)

Zhu, K.: Bloch type spaces of analytic functions. Rocky Mountain J. Math. 23, 1143–1177 (1993)

Zhu, K.: Operator Theory in Function Spaces, 2nd edn. American Mathematical Society, Providence (2007)