[PDF] Top 20 Bounded Composition Operators on Hardy Spaces

... weighted composition operator map the Hardy space H δ +1 into itself? A weighted composition operator W φ,(φ+ε) is an operator that map s ϵ 𝒦𝒦 (ℝ) , the space of holomorphic functions on the unit ... See full document

... Some characterizations of the boundedness and compactness of the composition operator, as well as Volterra type operator, on the Zygmund space can be found in [–].. The purpose of th[r] ... See full document

... above Hardy-Orlicz spaces to the boundedness of multiplication operators, composition operators, and Ces`aro integral-type ...Bergman spaces in the unit ... See full document

... The notion of numerical range or the classical field of values was first introduced by O. Toeplitz in 1918 for matrices. This concept was independently extended by G. Lumer and F. Bauer in the sixties to a bounded ... See full document

... weak Hardy spaces 𝐻 𝜔 𝑝,∞ on space of homogeneous type satisfying some reverse doubling ...integral operators in 𝐻 𝜔 𝑝,∞ and prove an 𝐻 𝜔 𝑝,∞ interpolation ...integral operators in 𝐻 𝜔 𝑝,∞ are ... See full document

... studied composition opera- tors on the Hardy space H 2 ...general composition operators and gave the exact norm in the case where the symbol map is an inner ... See full document

... weighted composition operators on Hardy spaces, whereas Mirzakarimi and Siddighi [39] have considered these operators on Bergman and Dirichlet ...Block-type spaces, these op- ... See full document

... various operators on function spaces such as the Hardy and Bergman space can be tested by their action on reproducing kernels: this is known to apply to Hankel operators, Toeplitz ... See full document

... weighted Hardy-Cesàro operator on weighted Lebesgue spaces and weighted BMO ...weighted Hardy-Cesàro operators and their commutators on weighted functional spaces of Morrey type, and ... See full document

... Morrey spaces were introduced by Morrey in [] to investigate the local be- havior of solutions to second-order elliptic partial differential ...The bounded- ness of the Hardy-Littlewood maximal ... See full document

... each composition operator is bounded on the Bloch ...of composition operator on the Bloch space. Product composition operator ans some other operators attracted considerable interest ... See full document

... products operators M ψ C φ D, M ψ DC φ , C φ M ψ D, DM ψ C φ , C φ DM ψ , and DC φ M ψ that act from the Hardy spaces to the weighted-type ...previous operators act from Hardy ... See full document

... the composition operator H generated by a set-valued function h I : × → C clb Y ( ) maps RV ϕ ( I C , ) into RW ψ ( I clb Y , ( ) ) , and is uniformly bounded, then ... See full document

... The Hardy integral inequalities have received considerable attention due to their use- fulness in analysis and their ...the Hardy integral inequalities for p-adic Hardy operators and their ... See full document

... multilinear operators are of great interest in harmonic analysis and have been widely studied by many authors (see [1, 2, 3, 4, ...Marcinkiewicz operators on certain Hardy and Herz-Hardy ... See full document

... weighted composition operator on the Hardy–Hilbert space on the disc or half-plane im- plies its boundedness on a class of related spaces, including weighted Bergman ... See full document

... the bounded, compact and Hilbert-Schmidt difference of composition operators on the Bergman spaces over the half-plane are characterized in (Choe et ...two composition operators C ... See full document

... of bounded invertible and unitary weighted composition operator on D, ...and bounded invertible weighted composition operator on the Hardy space, ... See full document

... Hilbert-Hardy-type operators with particular ...a composition of two half-discrete Hilbert-Hardy-type operators with some particular ker- nels, and [] and [] published some ... See full document

... unbounded operators in terms of bounded pure contractions by treating unbounded operators between two Hilbert spaces rather than restricting the investigation to operators on a single ... See full document