Closures of Hardy and Hardy–Sobolev Spaces in the Bloch Type Space on the Unit Ball

Jasbir Singh Manhas; Ruhan Zhao

doi:10.1007/s11785-017-0758-1

Closures of Hardy and Hardy–Sobolev Spaces in the Bloch Type Space on the Unit Ball

Jasbir Singh Manhas, Ruhan Zhao^*

^*المؤلف المقابل لهذا العمل

Mathematics

نتاج البحث: المساهمة في مجلة › Article › مراجعة النظراء

5 اقتباسات (Scopus)

ملخص

For 0 < α< ∞, 0 < p< ∞ and 0 < s< ∞, we characterize the closures in the α-Bloch norm of α-Bloch functions that are in a Hardy space H^p and in a Hardy–Sobolev space Hsp on the unit ball of Cⁿ.

اللغة الأصلية	English
الصفحات (من إلى)	1303-1313
عدد الصفحات	11
دورية	Complex Analysis and Operator Theory
مستوى الصوت	12
رقم الإصدار	5
المعرِّفات الرقمية للأشياء	https://doi.org/10.1007/s11785-017-0758-1
حالة النشر	Published - يونيو 1 2018

ASJC Scopus subject areas

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الوصول إلى المستند

10.1007/s11785-017-0758-1

الملفات والروابط الأخرى

قم بذكر هذا

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title = "Closures of Hardy and Hardy–Sobolev Spaces in the Bloch Type Space on the Unit Ball",

abstract = "For 0 < α< ∞, 0 < p< ∞ and 0 < s< ∞, we characterize the closures in the α-Bloch norm of α-Bloch functions that are in a Hardy space Hp and in a Hardy–Sobolev space Hsp on the unit ball of Cn.",

keywords = "Bloch type spaces, Closure, Hardy spaces, Hardy–Sobolev spaces",

author = "Manhas, {Jasbir Singh} and Ruhan Zhao",

note = "Publisher Copyright: {\textcopyright} 2017, Springer International Publishing AG, part of Springer Nature.",

year = "2018",

month = jun,

day = "1",

doi = "10.1007/s11785-017-0758-1",

language = "English",

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journal = "Complex Analysis and Operator Theory",

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TY - JOUR

T1 - Closures of Hardy and Hardy–Sobolev Spaces in the Bloch Type Space on the Unit Ball

AU - Manhas, Jasbir Singh

AU - Zhao, Ruhan

PY - 2018/6/1

Y1 - 2018/6/1

N2 - For 0 < α< ∞, 0 < p< ∞ and 0 < s< ∞, we characterize the closures in the α-Bloch norm of α-Bloch functions that are in a Hardy space Hp and in a Hardy–Sobolev space Hsp on the unit ball of Cn.

AB - For 0 < α< ∞, 0 < p< ∞ and 0 < s< ∞, we characterize the closures in the α-Bloch norm of α-Bloch functions that are in a Hardy space Hp and in a Hardy–Sobolev space Hsp on the unit ball of Cn.

KW - Bloch type spaces

KW - Closure

KW - Hardy spaces

KW - Hardy–Sobolev spaces

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U2 - 10.1007/s11785-017-0758-1

DO - 10.1007/s11785-017-0758-1

M3 - Article

AN - SCOPUS:85039730240

SN - 1661-8254

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SP - 1303

EP - 1313

JO - Complex Analysis and Operator Theory

JF - Complex Analysis and Operator Theory

IS - 5

ER -

Closures of Hardy and Hardy–Sobolev Spaces in the Bloch Type Space on the Unit Ball

ملخص

ASJC Scopus subject areas

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الملفات والروابط الأخرى

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