Maximal norm Hankel operators

Hankel Operators on Weighted Bergman Spaces and Norm Ideals

Consider Hankel operators Hf on the weighted Bergman space L 2 a(B, dvα). In this paper we characterize the membership of (H∗ fHf ) s/2 = |Hf | in the norm ideal CΦ, where 0 < s ≤ 1 and the symmetric gauge function Φ is allowed to be arbitrary.

A Note on Maximal Operators Associated with Hankel Multipliers

Let m have compact support in (0,∞). For 1 < p < 2d/(d + 1), we give a necessary and sufficient condition for the Lprad(R )-boundedness of the maximal operator associated with the radial multiplier m(|ξ|). More generally we prove a similar result for maximal operators associated with multipliers of modified Hankel transforms. The result is obtained by modifying the proof of the characterization...

Rigged Non-tangential Maximal Function Associated with Toeplitz Operators and Hankel Operators

Let T denote the unit circle and dm the normalized Lebesgue measure on T . For 1 ≤ p ≤ ∞, L stands for L(T, dm). As usual, H is the Hardy subspace of L. Let P : L → H be the orthogonal projection. For f ∈ L, the Toeplitz operator Tf and the Hankel operator Hf are defined by the formulas Tfφ = Pfφ and Hfφ = (1 − P )fφ, φ ∈ H, whenever these expressions make sense. Thus the domains of Tf and Hf c...

Distorted Hankel Integral Operators

For α, β > 0 and for a locally integrable function (or, more generally , a distribution) ϕ on (0, ∞), we study integral ooperators G α,β ϕ on L 2 (R +) defined by G α,β ϕ f (x) = R+ ϕ x α + y β f (y)dy. We describe the bounded and compact operators G α,β ϕ and operators G α,β ϕ of Schatten–von Neumann class S p. We also study continuity properties of the averaging projection Q α,β onto the oper...

Slant Hankel Operators