scholarly journals Equivariant embedding theorems and topological index maps

2010 ◽  
Vol 225 (5) ◽  
pp. 2840-2882 ◽  
Author(s):  
Heath Emerson ◽  
Ralf Meyer
Keyword(s):  
Topological Index ◽  
Embedding Theorems ◽  
Equivariant Embedding ◽  
Index Maps

scholarly journals G-Equivariant Embedding Theorems for CR Manifolds of High Codimension

2021 ◽  
Vol -1 (-1) ◽  
Author(s):  
Kevin Fritsch ◽  
Hendrik Herrmann ◽  
Chin-Yu Hsiao
Keyword(s):  
Embedding Theorems ◽  
Cr Manifolds ◽  
High Codimension ◽  
Equivariant Embedding

Sobolev Spaces

2018 ◽  
Author(s):  
D. E. Edmunds ◽  
W. D. Evans
Keyword(s):  
Sobolev Spaces ◽  
Embedding Theorems ◽  
Approximation Numbers ◽  
Selection Of

This chapter presents a selection of some of the most important results in the theory of Sobolev spacesn. Special emphasis is placed on embedding theorems and the question as to whether an embedding map is compact or not. Some results concerning the k-set contraction nature of certain embedding maps are given, for both bounded and unbounded space domains: also the approximation numbers of embedding maps are estimated and these estimates used to classify the embeddings.

Embedding theorems for Janelidze's matrix conditions

2020 ◽  
Vol 224 (2) ◽  
pp. 469-506 ◽  
Author(s):  
Pierre-Alain Jacqmin
Keyword(s):  
Embedding Theorems

scholarly journals Embedding Theorems and Area Operators on Bergman Spaces with Doubling Measure

2021 ◽  
Vol 15 (3) ◽  
Author(s):  
Changbao Pang ◽  
Antti Perälä ◽  
Maofa Wang
Keyword(s):  
Borel Measure ◽  
Bergman Spaces ◽  
Embedding Theorem ◽  
Weighted Bergman Spaces ◽  
Embedding Theorems ◽  
Positive Borel Measure ◽  
Doubling Property ◽  
Area Operator ◽  
Special Cases ◽  
Upper Half Plane

AbstractWe establish an embedding theorem for the weighted Bergman spaces induced by a positive Borel measure $$d\omega (y)dx$$ d ω ( y ) d x with the doubling property $$\omega (0,2t)\le C\omega (0,t)$$ ω ( 0 , 2 t ) ≤ C ω ( 0 , t ) . The characterization is given in terms of Carleson squares on the upper half-plane. As special cases, our result covers the standard weights and logarithmic weights. As an application, we also establish the boundedness of the area operator.

scholarly journals Topological Formulae for the Zeroth Cohomology of Line Bundles on del Pezzo and Hirzebruch Surfaces

2021 ◽  
Vol 8 (1) ◽  
pp. 223-229
Author(s):  
Callum R. Brodie ◽  
Andrei Constantin ◽  
Rehan Deen ◽  
Andre Lukas
Keyword(s):  
Topological Index ◽  
Line Bundles ◽  
Hirzebruch Surfaces ◽  
Del Pezzo

Abstract We show that the zeroth cohomology of effective line bundles on del Pezzo and Hirzebruch surfaces can always be computed in terms of a topological index.

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