As networks continue to grow in size and complexity, distributed network monitoring and resource querying are becoming increasingly difficult. Our aim is to design, build, and evaluate a scalable infrastructure for answering queries over distributed measurements, at reduced costs (in terms of both network traffic and query latency) while maintaining required precision. In this infrastructure, e...

Index structures are one of the most important tools that DBAs leverage in order to improve the performance of analytics and transactional workloads. However, with the explosion of data that is constantly being generated in a wide variety of domains including autonomous vehicles, Internet of Œings (IoT) devices, and E-commerce sites, building several indexes can o‰en become prohibitive and cons...

Let F be an infinite dimensional complex Banach space endowed with a bounded shrinking basis X. We seek conditions to relate XHadamard derivations and B-derivations supported on multiplier operators of F relative to X. It is seeing that in general the former class is larger than the first and some facts on basis problems are also considered. 2000 Mathematics Subject Classification: 47B39

We prove that the multiplier operator U t defined by Û α t f = e it|·| f̂ is bounded from Lpβ(R ) to L(R × [0, 1]) for all β ≥ αd( 1 2 − 1 p )− α p when p ∈ ( 2(d+3) d+1 ,∞). This is sharp with respect to the Sobolev index when α 6= 1.

We show that any pointwise multiplier for BMO(R) generates a function p from the class P(Rn) of those functions for which the Hardy-Littlewood maximal operator is bounded on the variable L space. In particular, this gives a positive answer to Diening’s conjecture saying that there are discontinuous functions which nevertheless belong to P(Rn). Mathematics Subject Classification (2000): 42B25

First, we establish a useful characterization of effective sets in conditionally complete partially ordered sets. Then, we prove that each maximal nonexpansive partial multiplier on a conditionally complete and infinitely distributive partially ordered set with upper bounded centre is inner. Finally, we show that some analogous results hold for T1-families of sets partially ordered by inclusion.