𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the InclusionH2(Un) ⊂ H2n(Bn) and the Isoperimetric Inequality

✍ Scribed by Miroslav Pavlović; Milutin R Dostanić


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
113 KB
Volume
226
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

✦ Synopsis


Let U n and B n be the unit polydisc and the unit all in ‫ރ‬ n , respectively. We 2 Ž n .

that the n norm of the inclusion is equal to one. If f depends on one variable only, then the Ž . result reduces to an inequality of isoperimetric type due to Carleman n s 2 and Ž . Burbea n ) 2 .


📜 SIMILAR VOLUMES


Isopiestic studies on the systems{NaCl&#
✍ Y.-F. Hu; Y.-H. Liu; S.-P. Sun 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 100 KB

Isopiestic measurements have been made for the systems {NaCl + BaCl 2 + mannitol (sat) (aq)} and {KCl + glycine + mannitol (sat) (aq)} at T = 298.15 K. The results agree well with the linear relations for the saturated systems published previously and indicate that if the unsaturated subsystem {(B +

The coexistence curves of { x C6H5NO2&#x
✍ Kai Tang; Congshan Zhou; Xueqin An; Weiguo Shen 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 158 KB

Coexistence curves of (T, n), (T, x), and (T, φ) where n, x, and φ are the refractive index, the mole fraction, and the volume fraction, respectively, for the binary mixtures {xC 6 H 5 NO 2 +(1x)CH 3 (CH 2 ) 4 CH 3 } and {xC 6 H 5 NO 2 +(1x)CH 3 (CH 2 ) 5 CH 3 } have been determined within about 10

Measurements and analysis of excess mola
✍ P. Santana; J. Balseiro; E. Jiménez; C. Franjo; J.L. Legido; R. Romanı&#x030 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 120 KB

TABLE 1. Densities ρ for the pure liquids at T = 298.15 K ρ/(g•cm -3 ) Liquid expt lit 1-Chlorobutane 0.88069 0.88079 (4) 1-Butanol 0.80575 0.80576 (5)

The excess molar volumes and enthalpies
✍ T.M. Letcher; J. Łachwa; U. Domańska 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 159 KB

Excess molar volumes V E m at T = 298.15 K and atmospheric pressure are reported for (N -methyl-2-pyrrolidinone + propan-2-ol, or butan-1-ol, or butan-2-ol, or 2-methylpropan-1-ol). The V E m have been calculated from measured values of density using the vibrating tube technique. The results are dis

Thermodynamic properties of {xCH3OH &#xa
✍ O. Osada; M. Sato; M. Uematsu 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 175 KB

Measurements of ( p, ρ, T ) for {xCH 3 OH + (1x)H 2 O} with x = (1.0000 and 0.4993) at specified temperatures and pressures in the compressed liquid phase were carried out with a metal-bellows variable volumometer along six isotherms between T = 320 K and T = 420 K at pressures from the bubble point