Criteria for Membership of the Mean Lipschitz Spaces

Author(s):  
D. Walsh
2013 ◽  
Vol 41 (2) ◽  
pp. 543-553
Author(s):  
Ern Gun Kwon ◽  
Hong Rae Cho ◽  
Hyungwoon Koo

2012 ◽  
Vol 2012 ◽  
pp. 1-15
Author(s):  
Hong Rae Cho

For1≤p≤∞ands>0,letΛspbe holomorphic mean Lipschitz spaces on the unit ball inℂn. It is shown that, ifs>n/p,the spaceΛspis a multiplicative algebra. Ifs>n/p, then the spaceΛspis not a multiplicative algebra. We give some sufficient conditions for a holomorphic function to be a pointwise multiplier ofΛn/pp.


2011 ◽  
Vol 15 (4) ◽  
pp. 1749-1757
Author(s):  
Hong Rae Cho ◽  
Hyungwoon Koo ◽  
Ern Gun Kwon

1966 ◽  
Vol 24 ◽  
pp. 170-180
Author(s):  
D. L. Crawford

Early in the 1950's Strömgren (1, 2, 3, 4, 5) introduced medium to narrow-band interference filter photometry at the McDonald Observatory. He used six interference filters to obtain two parameters of astrophysical interest. These parameters he calledlandc, for line and continuum hydrogen absorption. The first measured empirically the absorption line strength of Hβby means of a filter of half width 35Å centered on Hβand compared to the mean of two filters situated in the continuum near Hβ. The second index measured empirically the Balmer discontinuity by means of a filter situated below the Balmer discontinuity and two above it. He showed that these two indices could accurately predict the spectral type and luminosity of both B stars and A and F stars. He later derived (6) an indexmfrom the same filters. This index was a measure of the relative line blanketing near 4100Å compared to two filters above 4500Å. These three indices confirmed earlier work by many people, including Lindblad and Becker. References to this earlier work and to the systems discussed today can be found in Strömgren's article inBasic Astronomical Data(7).


1966 ◽  
Vol 25 ◽  
pp. 46-48 ◽  
Author(s):  
M. Lecar

“Dynamical mixing”, i.e. relaxation of a stellar phase space distribution through interaction with the mean gravitational field, is numerically investigated for a one-dimensional self-gravitating stellar gas. Qualitative results are presented in the form of a motion picture of the flow of phase points (representing homogeneous slabs of stars) in two-dimensional phase space.


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