scholarly journals Carleson Measures for Besov-Sobolev Spaces with Applications in the Unit Ball of Cn

2013 ◽  
Vol 33 (5) ◽  
pp. 1219-1230 ◽  
Author(s):  
Ru PENG ◽  
Caiheng OUYANG
Keyword(s):  
Unit Ball ◽  
Sobolev Spaces ◽  
Carleson Measures

Carleson Measures on Spaces of Hardy-Sobolev Type

1995 ◽  
Vol 47 (6) ◽  
pp. 1177-1200 ◽  
Author(s):  
Carme Cascante ◽  
Joaquín M. Ortega
Keyword(s):  
Sobolev Space ◽  
Unit Ball ◽  
Sobolev Spaces ◽  
Necessary Conditions ◽  
Sufficient Conditions ◽  
Carleson Measures ◽  
Sobolev Type

AbstractWe study positive measures on 𝔹n satisfying that . for any ƒ ∈ where is the Hardy-Sobolev space in the unit ball. We obtain several computable sufficient conditions as well as some necessary conditions and establish their sharpness. We study the same problem for Besov-Sobolev spaces and give some applications to multipliers.

On q-Carleson Measures for Spaces of M-Harmonic Functions

1997 ◽  
Vol 49 (4) ◽  
pp. 653-674 ◽  
Author(s):  
Carme Cascante ◽  
Joaquin M. Ortega
Keyword(s):  
Unit Ball ◽  
Harmonic Functions ◽  
Sufficient Conditions ◽  
Carleson Measures

AbstractIn this paper we study the q-Carleson measures for a space of M-harmonic potentials in the unit ball of Cn, when q < p. We obtain some computable sufficient conditions, and study the relations among them.

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