The conjugation operator on Aq(G)

Sanjiv Kumar Gupta; Shobha Madan; U. B. Tewari

doi:10.1090/S0002-9939-1994-1181167-4

The conjugation operator on A_q(G)

Sanjiv Kumar Gupta, Shobha Madan, U. B. Tewari

نتاج البحث: المساهمة في مجلة › Article › مراجعة النظراء

ملخص

Let G be a compact abelian group and r its dual. For 1 ≤ q > ∞, the space Aq(G) is defined as with the norm We prove: Let G be a compact, connected abelian group and P any fixed order on Γ. If q < 2 and Φi s a Young’s function, then the conjugation operator H does not extend to a bounded operator from Aq(G) to the Orlicz space L^Φ.

اللغة الأصلية	English
الصفحات (من إلى)	163-166
عدد الصفحات	4
دورية	Proceedings of the American Mathematical Society
مستوى الصوت	121
رقم الإصدار	1
المعرِّفات الرقمية للأشياء	https://doi.org/10.1090/S0002-9939-1994-1181167-4
حالة النشر	Published - مايو 1994
منشور خارجيًا	نعم

ASJC Scopus subject areas

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الوصول إلى المستند

10.1090/S0002-9939-1994-1181167-4

الملفات والروابط الأخرى

قم بذكر هذا

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AB - Let G be a compact abelian group and r its dual. For 1 ≤ q > ∞, the space Aq(G) is defined as with the norm We prove: Let G be a compact, connected abelian group and P any fixed order on Γ. If q < 2 and Φi s a Young’s function, then the conjugation operator H does not extend to a bounded operator from Aq(G) to the Orlicz space LΦ.

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