Let p∈(0,1), α:=1/p−1, and, for any τ∈[0,∞), Φp(τ):=τ/(1+τ1−p). Hp(Rn), hp(Rn), and Λnα(Rn) be, respectively, the Hardy space, local inhomogeneous Lipschitz space on Rn. In this article, applying renormalization of wavelets, authors establish a bilinear decomposition multiplications elements in hp(Rn) [or Hp(Rn)] Λnα(Rn), prove that these decompositions are sharp some sense. As applications, al...

Let Lm,p(Rn) be the homogeneous Sobolev space for p?(n,?), ? a Borel regular measure on Rn, and Lm,p(Rn)+Lp(d?) of measurable functions with finite seminorm ?f?Lm,p(Rn)+Lp(d?):=inff1+f2=f?{?f1?Lm,p(Rn)p+?Rn|f2|pd?}1/p. We construct linear operator T:Lm,p(Rn)+Lp(d?)?Lm,p(Rn), that nearly optimally decomposes every function in sum space: ?Tf?Lm,p(Rn)p+?Rn|Tf?f|pd??C?f?Lm,p(Rn)+Lp(d?)p C dependent...

Considering the epidemiological effect of radon on human beings, an attempt is made to make a nation-wide atlas of Rn and Rn for India. More than 5000 measurements have been carried out in 1500 dwellings across the country, India. The solid state nuclear track detectors were deployed for the measurement of indoor Rn, Rn and their progeny levels. The mean annual inhalation dose rate due to Rn, R...

As the COVID pandemic comes toward an end, nurse leaders are rapidly emerging into a “new normal” of leading health care delivery. One aspect that accelerated during and our new normal was greater adoption integration technology. Nurse uniquely positioned to influence, advocate for, lead future technology delivery models. Molly McCarthy, MBA, BSN, RN, RN-BC, National Director U.S. Health Provid...

Introduction: Radon-222 gas is a radioactive, colorless and odorless element that can cause lung cancer and stomach in humans with alpha-ray emissions. An important source of Radon-222 is the output water in springs, especially hot springs to emit ionision radiation. In this study, Rn-222 activity concentration and gamma dose rate levels in water sample of some selected hot spr...

road network (rn) can affect patterns and distribution of land uses and covers. road network expansion has both direct and indirect impacts on land uses and covers changes. agricultural land conversions (alcs) are especially known as one of the main important types of land use changes. the purpose of this paper, in addition to estimation of the direct impact of rn expansion on alcs, is to evalu...

In this paper we establish mapping properties of bilinear Coifman-Meyer multipliers acting on the product spaces H1(Rn)×bmo(Rn) and Lp(Rn)×bmo(Rn), with 1<p<∞. As application these results, obtain some related Kato-Ponce-type inequalities involving endpoint space bmo(Rn), also study pointwise a function in bmo(Rn) functions H1(Rn), h1(Rn) Lp(Rn),

Several years of research in developing a radon emanation standard by the National Institute of Standards and Technology (NIST) has led to NIST Radon Emanation Standard SRM 4968 (Journal of Research of the MST 100:629-639; 1996). This new standard is based on a polyethylene -encapsulated ""Ra solution that has been demonstrated to emanate a well-characterized and known quantity "̂Rn when employe...

This paper proposes a simple, set-theoretic framework providing expressive typing, higher-order functions and initial models at the same time. Building upon Russell’s ramified theory of types, we develop the theory of R-logics, which are axiomatisable by an order-sorted equational Horn logic with a membership predicate, and of G-logics, that provide in addition partial functions. The latter are...