Volterra type operators on Morrey type spaces

Qian, Ruishen; Li, Songxiao

doi:10.7153/mia-18-122

Cited by 14 publications

(9 citation statements)

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“…We will consider the embedding map I : D s K → T s K (µ) and find sufficient or necessary condition for the operator I to be bounded. As an extention of results of [6,11,15,19,28], we state the following theorem. Theorem 3.1.…”

Section: The Embedding Map Frommentioning

confidence: 91%

Characterizations of Morrey type spaces

Sun¹,

Wulan²

2021

Can. Math. Bull.

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For a nondecreasing function K : [0, ∞) → [0, ∞) and 0 < s < ∞, we introduce a Morrey type space of functions analytic in the unit disk D, denoted by D s K . Some characterizations of D s K are obtained in terms of K-Carleson measures. A relationship between two spaces D s1 K and D s2 K is given by fractional order derivatives. As an extention of some known results, for a positive Borel measure µ on D, we find sufficient or necessary conditions for the embedding map I : D s K → T s K (µ) to be bounded.

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Section: The Embedding Map Frommentioning

confidence: 91%

Characterizations of Morrey type spaces

Sun¹,

Wulan²

2021

Can. Math. Bull.

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“…Pau and Peláez [18] and Xiao [10] studied T g acting on Q p , respectively. For more information on operator T g , see [3,8,11,14,16,17,19,20,21,22,23,24] and the references therein.…”

Section: Boundedness Of T G I G and M Gmentioning

confidence: 99%

Volterra integral operators and Carleson embedding on Campanato spaces

2021

J. Nonlinear Var. Anal.

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“…Aleman and Siskakis studied T g on H p and weighted Bergman spaces in [1,2]. Recently, the operators T g and I g between some spaces of analytic functions were investigated in [1,2,7,8,12,13,14,15,18,20,21,22] (see also the related references therein).…”

Section: Norm Of Integral Operatorsmentioning

confidence: 99%