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LITTLE HANKEL OPERATORS ON WEIGHTED BLOCH SPACES IN Cn
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 Title & Authors
LITTLE HANKEL OPERATORS ON WEIGHTED BLOCH SPACES IN Cn
Choi, Ki-Seong;
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 Abstract
Let B be the open unit ball in and (q > -1) the Lebesgue measure such that (B) = 1. Let be the subspace of consisting of analytic functions, and let be the subspace of ) consisting of conjugate analytic functions. Let be the orthogonal projection from into . The little Hankel operator is defined by . In this paper, we will find the necessary and sufficient condition that the little Hankel operator is bounded(or compact).룃ﶖ⨀䂲ﶖ⨀Ȁ€ԀԀԀĀĀĀ會Ā厧Āࢧヨ⨀䡧ﺖ⨀ࢧヨ⨀肨ヨ⨀ࢧヨ⨀ヨ⨀က䂨ヨ⨀ࠀ佒䝄噟乍ヨ⨀ငヨ⨀炨ヨ⨀ሀ您ヨ⨀袨ヨ⨀Ѐ䕏䭎Ā̀ࠀ䂩ヨ⨀䁽얖⨀偽얖⨀룃ﶖ⨀䂲ﶖ⨀ȀȀȀĀ저저會Ā厧Āᢨヨ⨀좨ヨ⨀⢨ヨ⨀좨ヨ⨀炫ヨ⨀좨ヨ⨀뢨ヨ⨀ကꢨヨ⨀ªヨ⨀Ѐ䕏䕎Ā̀ࠀ뢪ヨ⨀䁾얖⨀偾얖⨀룃ﶖ⨀䂲ﶖ⨀̀̀̀Ā저저會Ā厧Ā�ヨ⨀䂪ヨ⨀ヨ⨀䂪ヨ⨀ヨ⨀䂪ヨ⨀オヨ⨀က₪ヨ⨀碫ヨ⨀Ѐ偏䥄Āᤁ̀ࠀガヨ⨀䁿얖⨀偿얖⨀룃ﶖ⨀䂲ﶖ⨀Ȁ€ĀĀĀĀ਀਀會Ā厧Ā傫ヨ⨀뢫ヨ⨀悫ヨ⨀뢫ヨ⨀悮ヨ⨀뢫ヨ⨀ꢫヨ⨀က颫ヨ⨀ヨ⨀Ѐ䍐乍Ā㈁̀ࠀꢭヨ⨀䂀얖⨀傀얖⨀룃ﶖ⨀䂲ﶖ⨀ᘀᘀᘀĀ저저會Ā厧Ā좬ヨ⨀キヨ⨀�ヨ⨀
 Keywords
Bergman space;little Hankel operator;weighted Bloch space;
 Language
English
 Cited by
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2.
NOTES ON CARLESON TYPE MEASURES ON BOUNDED SYMMETRIC DOMAIN,;

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3.
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4.
ON DUALITY OF WEIGHTED BLOCH SPACES IN ${\mathbb{C}}^n$,;;

충청수학회지, 2010. vol.23. 3, pp.523-534
5.
SOME RESULTS RELATED WITH POISSON-SZEG$\ddot{O}$ KERNEL AND BEREZIN TRANSFORM,;;

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6.
BLOCH-TYPE SPACE RELATED WITH NORMAL FUNCTION,;

충청수학회지, 2011. vol.24. 3, pp.533-541
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NOTES ON THE SPACE OF DIRICHLET TYPE AND WEIGHTED BESOV SPACE,;

충청수학회지, 2013. vol.26. 2, pp.393-402 crossref(new window)
8.
TOEPLITZ TYPE OPERATOR IN ℂn,;

충청수학회지, 2014. vol.27. 4, pp.697-705 crossref(new window)
1.
NOTES ON THE SPACE OF DIRICHLET TYPE AND WEIGHTED BESOV SPACE, Journal of the Chungcheong Mathematical Society , 2013, 26, 2, 393  crossref(new windwow)
2.
TOEPLITZ TYPE OPERATOR IN ℂn, Journal of the Chungcheong Mathematical Society , 2014, 27, 4, 697  crossref(new windwow)
3.
NOTES ON ${\alpha}$-BLOCH SPACE AND $D_p({\mu})$, Journal of the Chungcheong Mathematical Society , 2012, 25, 3, 543  crossref(new windwow)
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