Abstract
We present a new Morera-type theorem on a unit disk.
Similar content being viewed by others
REFERENCES
S. Helgason, Groups and Geometric Analysis [Russian translation], Mir, Moscow (1987).
V. V. Volchkov, “On a Zalcman problem and its generalizations,” Mat. Zametki, 53, Issue 2, 30–36 (1993).
M. L. Agranovskii, “Fourier transformation on SL 2(R) and Morera-type theorems,” Dokl. Akad. Nauk SSSR, 243, No. 6, 1353–1356 (1978).
L. Zalcman, “Analyticity and the Pompeiu problem,” Arch. Ration. Mech. Anal., 47, 237–254 (1972).
C. A. Berenstein, D. C. Chang, D. Pascuas, and L. Zalcman, “Variations on the theorem of Morera,” Contemp. Mat., 137, 63–78 (1992).
M. Agranovskii, C. A. Berenstein, and D. C. Chang, “Morera theorem for holomorphic H p spaces in the Heisenberg group,” J. Reine Angew. Math., 443, 49–89 (1993).
V. V. Volchkov, “Theorems of the Morera type on domains with a weak cone condition,” Izv. Vyssh. Uchebn. Zaved., Ser. Mat., No. 10, 15–20 (1993).
L. A. Aizenberg, “Variations on the Morera theorem and Pompeiu problem,” Dokl. Akad. Nauk Ros., 337, No. 6, 709–712 (1994).
V. V. Volchkov, “On one extremal problem related to the Morera theorem,” Mat. Zametki, 60, No. 6, 804–809 (1996).
V. V. Volchkov, “Morera-type theorems on the unit disk,” Anal. Math., 20, 49–63 (1994).
V. V. Volchkov, “Extremal problems on Pompeiu sets,” Mat. Sb., 189, No. 7, 3–22 (1998).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Silenko, V.E. A New Morera-Type Theorem on a Unit Disk. Ukrainian Mathematical Journal 53, 317–322 (2001). https://doi.org/10.1023/A:1010485508280
Issue Date:
DOI: https://doi.org/10.1023/A:1010485508280