Pointwise multipliers and decomposition theorems in F 8,q s

DIVISION PROBLEM IN GENERALIZED GROWTH SPACES ON THE UNIT BALL IN ℂn

“…Formulas for explicit solutions of such division problems were studied by many authors in various situations and norms (see [1], [2], [3], [4], [5], [11], [12], [14], [15], [16], [17], [18]). In particular, the H p -corona problem asks for the condition on holomorphic n-tuples G = ( …”

Carleson Measures for Besov-Sobolev Spaces with Applications in the Unit Ball of Cn

“…Similar to the proof of Lemma 3.2 of [13], it is easy to prove the following Lemma 2.1 and Lemma 2.2. For the convenience of readers, we give the details of the proof of Lemma 2.1.…”

Riemann–Stieltjes operators and multipliers on Qp spaces in the unit ball of Cn

“…The following lemma is a version of Lemma 3.2 of [12] with q = 2, N = s and replacing n by np. We omit its proof.…”

“…It not only is motivated by the importance of Q p spaces which unify BMOA and Bloch space in the scale of p, but also is inspired by the good idea that a space may be boundedly embedded in tent space as in [12] and [23]. The concept of tent space is from real harmonic analysis [4], however, it is indeed quick way to characterize the boundedness of some operators acting on function spaces.…”