Let μ be a Borel measure on Rd which may be nondoubling. The only condition that μ must satisfy is μ(Q) ≤ c0l(Q) for any cube Q ⊂ Rd with sides parallel to the coordinate axes and for some fixed n with 0 < n ≤ d. This paper is to establish the weighted norm inequality for commutators of Calderón-Zygmund operators with RBMO(μ) functions by an estimate for a variant of the sharp maximal function ...

A " k-rule " is a sequence A = ((A n , B n) : n < ω) of pairwise disjoint sets B n , each of cardinality ≤ k and subsets A n ⊆ B n. A subset X ⊆ ω (a " real ") follows a rule A if for infinitely many n ∈ ω, X ∩ B n = A n. There are obvious cardinal invariants resulting from this definition: the least number of reals needed to follow all k-rules, s k , and the least number of k-rules without a r...

New estimates on the maximal function associated to the linear Schrödinger equation are established.

We generalize the notion of ‘diagonal’ from the class of CSL algebras to masa bimodules. We prove that a reflexive masa bimodule decomposes as a sum of two bimodules, the diagonal and a module generalizing the w*-closure of the Jacobson radical of a CSL algebra. The latter module turns out to be reflexive, a result which is new even for CSL algebras. We show that the projection onto the direct ...

In the paper we prove an extension theorem for matrices with entries in H (U) for U being a Riemann surface of a special type. One of the main components of the proof is a Grauert type theorem for “holomorphic” vector bundles defined over maximal ideal spaces of certain Banach algebras.

The extent to which you adapt your grammatical choices to match that of your interlocutor's (structural priming) can be influenced by the social opinion you have of your interlocutor. However, the direction and reliability of this effect is unclear as different studies have reported seemingly contradictory results. We have operationalized social perception as the ratings of strangeness for diff...

HYPOTHESIS Expert levels can be developed for use as training end points for a basic video-trainer skills curriculum, and the levels developed will be suitable for training. DESIGN Fifty subjects with minimal prior simulator exposure were enrolled using an institutional review board-approved protocol. As a measure of baseline performance, medical students (n = 11) and surgery residents (n = 3...

The large deviation problem for sums of i.i.d. random vectors is considered. It is assumed that the underlying distribution is absolutely continuous and its density is of regular variation. An asymptotic expression for the probability of large deviations is established in the case of a non-normal stable limit law. The role of the maximal summand is also emphasized. AMS Subject Classification: P...

Starting from the symmetric group Sn , we construct two fiat 2-categories. One of them can be viewed as the fiat “extension” of the natural 2-category associated with the symmetric inverse semigroup (considered as an ordered semigroup with respect to the natural order). This 2-category provides a fiat categorification for the integral semigroup algebra of the symmetric inverse semigroup. The ot...