Bounded Toeplitz Operators on H 1 and Applications of the Duality Between H 1 and the Functions of Bounded Mean Oscillation

On the Product of Functions in BMO and H^\text{1}

“…for Ω a bounded Lipschitz domain, and make some remarks on the definition of H 1 (Ω), which may be of independent interest, based on the developments in [8,15,42,43,45,54].…”

Structure of subalgebras between 𝐿^{∞} and 𝐻^{∞}

“…The equivalence between conditions (1) and (2) in the above theorem have been verified for some specific Douglas algebras by S. Axler [12], T. Weight [13] and the author [10]. Condition (3) has been established in the special case B = H°° + C by D. Stegenga [23].…”

Weighted Composition Operators on BMOA

“…Theorem 3.1 contains as a special case the well-known LMOA condition which characterizes boundedness of pointwise multipliers M ψ on BMOA (see [St,Theorem 1.2] or [OF, Theorem A]). There are several equivalent formulations of LMOA.…”