1996
DOI: 10.7146/math.scand.a-12576
|View full text |Cite
|
Sign up to set email alerts
|

Corona Type Decomposition in Some Besov Spaces.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
2

Citation Types

0
10
0

Year Published

2000
2000
2015
2015

Publication Types

Select...
6
2

Relationship

0
8

Authors

Journals

citations
Cited by 24 publications
(10 citation statements)
references
References 5 publications
0
10
0
Order By: Relevance
“…[ArFiPe]) and so unable to directly follow Stegenga's method in order to describe M(Q p ). But, observing that Q p behaves like BM OA and B, so we may borrow some ideas from [Steg1], [OrFa1] and [BrSh] to reveal what M(Q p ) is for each p ∈ (0, 1) and even for each p ∈ [1, ∞). To this end, we here introduce a modified Carleson measure in terms of the geometric concept.…”
Section: Multipliers Ofmentioning
confidence: 99%
See 1 more Smart Citation
“…[ArFiPe]) and so unable to directly follow Stegenga's method in order to describe M(Q p ). But, observing that Q p behaves like BM OA and B, so we may borrow some ideas from [Steg1], [OrFa1] and [BrSh] to reveal what M(Q p ) is for each p ∈ (0, 1) and even for each p ∈ [1, ∞). To this end, we here introduce a modified Carleson measure in terms of the geometric concept.…”
Section: Multipliers Ofmentioning
confidence: 99%
“…This corollary says that f ∈ M(Q p ) if and only if f ∈ H ∞ and (1.2) holds for any Carleson square S(I). Since the case p = 1 is essentially known [OrFa1], we only need to check the case p > 1. In fact, from Theorem 1.3 (ii) it yields that we suffice to show a proposition:…”
Section: Multipliers Ofmentioning
confidence: 99%
“…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 = ( …”
Section: Introduction and Statement Of Resultsmentioning
confidence: 99%
“…also [25]). Questions concerning solvability of the Bézout equation were formulated in other function spaces, including Hardy spaces and Besov spaces of analytic functions, see [3], [2] [4], [15], [21], [22] among others. In [18] the author proved an analogous result for strongly pseudoconvex domains in C n .…”
Section: Introductionmentioning
confidence: 99%