논문KCI 등재
On some new theorems on multipliers in harmonic function spaces in higher dimension II
2
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
We present various new sharp assertions on multipliers in mixed norm, weighted Hardy and new Lizorkin-Triebel spaces of har- monic functions in higher dimension. Some results are new even in oned- imensional case.
Abstract
We present various new sharp assertions on multipliers in mixed norm, weighted Hardy and new Lizorkin-Triebel spaces of har- monic functions in higher dimension. Some results are new even in oned- imensional case.
참고문헌 (15)
- A. B. Alexandrov, "Essays on non Locally Convex Hardy Classes, in Complex Analysis and Spectral Theory, In Lecture Notes in Mathematics 864", pp.1~89 (1981)
- A. B. Alexandrov, "On decrease in mean at the boundary of harmonic functions, in Russian", Algebra i Analiz, Tom, 7(4), pp.1~49 (1995)
- M. Arsenovic, "Sharp theorems on multipliers and distances in harmonic function spaces in higher dimension", J. Siberian Federal University. Mathematics & Physics, 5(3), pp.291~302 (2012)
- M. Djrbashian, "Topics in the theory of Ap α classes, Teubner Texts in Mathematics" (1988), Teubner Verlagsgesellschaft
- M. Jevtic, "Harmonic Bergman functions on the unit ball in Rn", Acta Math. Hungar, 85(1), pp.81~96 (1999)
- M. Jevtic, "Harmonic Besov spaces on the unit ball in Rn", Rocky Mountain J. Math, 31(4), pp.1305~1316 (2001)
- J. M. Ortega, "Holomorphic Triebel-Lizorkin Spaces", J. Funct. Anal, 151(1), pp.177~212 (1997)
- M. Pavlovic, "Convolution in the harmonic Hardy space hp with 0 < p < 1", Proc. Amer. Math. Soc, 109(1), pp.129~134 (1990)
- M. Pavlovic, "Multipliers of the vanishing Hardy classes", Publ. Inst. Math, 52(66), pp.34~36 (1992)
- R. F. Shamoyan, "On multipliers from Bergman type to Hardy spaces in polydisk", Ukrain. Mat. Zh, 52(10), pp.1405~1414 (2000)
- R. F. Shamoyan, "Holomorphic Lizorkin Triebel type spaces in the unit polydisk", Izv. NAN Armenii, 3, pp.57~78 (2002)
- R. F. Shamoyan, "On multipliers of spaces of harmonic functions in the unit ball of Rn", J. Inequalities and Special Functions, 3(1), pp.1~9 (2012)
- A. Shields, "Bounded projections, duality and multipliers in spaces of harmonic functions", J. Reine Angew. Math, 299, pp.256~279 (1978)
- E. M. Stein, "Introduction to Fourier Analysis on Euclidean Spaces" (1971), Princeton University Press
- M. Zakaryan, "Integral representations and duality in weighted spaces of harmonic func- tions in the unit ball, in Russian", 박사, pp.1999
관련 논문AI추천
Multiplier theorems in weighted Smirnov spacesAli Guven, Daniyal M. Israfilov대한수학회 · 대한수학회지2008 · 제45권 제6호CONTINUOUS CHARACTERIZATION OF THE TRIEBEL-LIZORKIN SPACES AND FOURIER MULTIPLIERS조영금대한수학회 · 대한수학회보2010 · 제47권 제4호Two-weight estimates for strong fractional maximal functions and potentials with multiple kernelsAlexander Meskhi, Vakhtang Kokilashvil대한수학회 · 대한수학회지2009 · 제46권 제3호A note of Littlewood-Paley functions on Triebel-Lizorkin spacesFeng Liu대한수학회 · 대한수학회보2018 · 제55권 제2호Some Multi-sublinear Operators on generalized Morrey spaces with non-doubling measuresXiangxing Tao, Yanlong Shi대한수학회 · 대한수학회지2012 · 제49권 제5호Fourier multipliers on certain Hardy spaces홍성금한국수학교육학회 · 이론수학과 교직수학2004 · 제11권 제1호
이 간행물의 다른 논문 (27건)
The function analytic in the exterior of a disc and its application to periodic complex oscillationShi-an Gao, Zong-Xuan Chenpp. 1415-1432Morphic property of a quotient ring over polynomial ringQichuan Wang, Lianggui Feng, Kai Longpp. 1433-1439Note on the ground states of two-component Bose-Einstein condensates with an internal atomic Josephson junctionZhongxue Lu, Zuhan Liupp. 1441-1450On entire solutions of nonlinear difference-differential equationsSongmin Wang, Sheng Lipp. 1471-1479Some properties of evolution algebrasJ. R. Gomez, B. A. Omirov, R. M. Turdibaev, L. M. Camachopp. 1481-1494
