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Certain multiplier results on Bp spaces

Naik Sunanda

Journal of Applied Analysis

2023

Vol. 29, nr 1

91--98

In this article, we use a particular case of convolution as an operator to discuss a number of problems concerning multiplier results between function spaces such as Hardy and Bp-spaces. As a consequence, we extend certain well-known results on fractional derivatives and fractional integrals. Also, we find condition on the parameters b, c such that Pb,c in Bp.

Hilbert-Schmidtness of weighted composition operators and their differences on Hardy spaces

Lo Ching-on, Loh Anthony Wai-keung

Opuscula Mathematica

2020

Vol. 40, no. 4

495--507

Let u and φ be two analytic functions on the unit disk D such that φ (D) ⊂ D. A weighted composition operator uCφ induced by u and φ is defined on H2, the Hardy space of D, by [formula] for every ∫ in H2. We obtain sufficient conditions for Hilbert-Schmidtness of v,Cv on H2 in terms of function-theoretic properties of u and φ. Moreover, we characterize Hilbert-Schmidt difference of two weighted composition operators on H2.

Weighted composition operators via Berezin transform and Carleson measure

Kumar R., Singh K. J.

Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae

2006

Vol. 46, [Z] 1

63-78

In this paper, we study the boundedness and the compactness of weighted composition operators on Hardy spaces and weighted Bergman spaces of the unit polydisc in C^n.

On the boundedness of the singh integral operator

Miclăuş G.

Demonstratio Mathematica

2005

Vol. 38, nr 3

591--594

In this paper we determine some conditions so that the Singh integral operator (1) and thier iterative, when it is applied to functions subordinate at starlike functions, are bounded in U.

Weak martingale hardy spaces

Weisz F.

Probability and Mathematical Statistics

1998

Vol. 18, Fasc. 1

133--148

Weak martingale Hardy spaces generated by an operator T are investigated. The concept of weak atoms is introduced and an atomic decomposition of the space wHTp is given if the operator T is predictable. Martingale inequalities between weak Hardy spaces generated by two different operators are considered. In particular, we obtain inequalities for the maximal function, for the q-variation, and for the conditional q-variation. The duals of the weak Hardy spaces generated by these special operators are characterized.