On the boundedness and compactness of extended Cesàro composition operators between weighted Bloch-type spaces

Lien Vuong Lam; Thai Thuan Quang

Makale detayları

On the boundedness and compactness of extended Cesàro composition operators between weighted Bloch-type spaces

Yazarlar:

Lien Vuong Lam | Thai Thuan Quang

Yayıncı:

Hacettepe University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.53 Issue 4, pp.894-914

Belge Tipi:

Makale

Yayın Tarihi:

8/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001325551

pISSN:

2651-477X

Anahtar kelimeler:

Özet:

 Let psi in HmathbbB_n, the space of all holomorphic functions on the unit ball mathbbB_n of mathbbCn, varphi  varphi_1, ldots, varphi_n in SmathbbB_n the set of holomorphic self-maps of mathbbB_n. Let C_psi, varphi: mathcal B_nu and  mathcal B_nu,0 to mathcal B_mu  and  mathcal B_mu,0 be weighted extended Cesàro operators induced by products of the extended Cesàro operator  C_varphi  and integral operator T_psi. In this paper, we characterize the boundedness and compactness of  C_psi,varphi  via the estimates for either  varphi  or  varphi_k  for some  kin 1,ldots,n.  At the same time, we also give the asymptotic estimates of the norms of these operators.

 Let psi in HmathbbB_n, the space of all holomorphic functions on the unit ball mathbbB_n of mathbbCn, varphi  varphi_1, ldots, varphi_n in SmathbbB_n the set of holomorphic self-maps of mathbbB_n. Let C_psi, varphi: mathcal B_nu and  mathcal B_nu,0 to mathcal B_mu  and  mathcal B_mu,0 be weighted extended Cesàro operators induced by products of the extended Cesàro operator  C_varphi  and integral operator T_psi. In this paper, we characterize the boundedness and compactness of  C_psi,varphi  via the estimates for either  varphi  or  varphi_k  for some  kin 1,ldots,n.  At the same time, we also give the asymptotic estimates of the norms of these operators.

 Let psi in HmathbbB_n, the space of all holomorphic functions on the unit ball mathbbB_n of mathbbCn, varphi  varphi_1, ldots, varphi_n in SmathbbB_n the set of holomorphic self-maps of mathbbB_n. Let C_psi, varphi: mathcal B_nu and  mathcal B_nu,0 to mathcal B_mu  and  mathcal B_mu,0 be weighted extended Cesàro operators induced by products of the extended Cesàro operator  C_varphi  and integral operator T_psi. In this paper, we characterize the boundedness and compactness of  C_psi,varphi  via the estimates for either  varphi  or  varphi_k  for some  kin 1,ldots,n.  At the same time, we also give the asymptotic estimates of the norms of these operators.

 Let psi in HmathbbB_n, the space of all holomorphic functions on the unit ball mathbbB_n of mathbbCn, varphi  varphi_1, ldots, varphi_n in SmathbbB_n the set of holomorphic self-maps of mathbbB_n. Let C_psi, varphi: mathcal B_nu and  mathcal B_nu,0 to mathcal B_mu  and  mathcal B_mu,0 be weighted extended Cesàro operators induced by products of the extended Cesàro operator  C_varphi  and integral operator T_psi. In this paper, we characterize the boundedness and compactness of  C_psi,varphi  via the estimates for either  varphi  or  varphi_k  for some  kin 1,ldots,n.  At the same time, we also give the asymptotic estimates of the norms of these operators.

Makale detayları

On the boundedness and compactness of extended Cesàro composition operators between weighted Bloch-type spaces

Yazarlar:

Lien Vuong Lam | Thai Thuan Quang

Yayıncı:

Hacettepe University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.53 Issue 4, pp.894-914

Belge Tipi:

Makale

Yayın Tarihi:

8/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001325551

pISSN:

2651-477X

Cesàro operator

unit ball

Bloch spaces

boundedness

compactness

Sayı

Makale detayları

On the boundedness and compactness of extended Cesàro composition operators between weighted Bloch-type spaces

Yazarlar: Lien Vuong Lam | Thai Thuan Quang

Yayıncı: Hacettepe University

Ana Başlıklar: Mathematical Sciences

Dergi: Hacettepe Journal of Mathematics and Statistics Vol.53 Issue 4, pp.894-914

Belge Tipi: Makale

Yayın Tarihi: 8/2024

Belge Dili: İngilizce

Document ID (Org No.): 2001325551

pISSN: 2651-477X

Cesàro operator

unit ball

Bloch spaces

boundedness

compactness

Sayı

Yazarlar:

Lien Vuong Lam | Thai Thuan Quang

Yayıncı:

Hacettepe University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.53 Issue 4, pp.894-914

Belge Tipi:

Makale

Yayın Tarihi:

8/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001325551

pISSN:

2651-477X