On an embedding theorem of Cohn

2022 ◽  
Vol 16 (1) ◽  
pp. 1-8
Author(s):  
Attila Nagy
Keyword(s):  
Embedding Theorem

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 Interpretability over peano arithmetic

1999 ◽  
Vol 64 (4) ◽  
pp. 1407-1425
Author(s):  
Claes Strannegård
Keyword(s):  
Modal Logic ◽  
Completeness Theorem ◽  
Peano Arithmetic ◽  
Embedding Theorem ◽  
Compactness Theorem ◽  
Partial Answer ◽  
Recursively Enumerable ◽  
Recursively Enumerable Sets ◽  
Interpretability Logic

AbstractWe investigate the modal logic of interpretability over Peano arithmetic. Our main result is a compactness theorem that extends the arithmetical completeness theorem for the interpretability logic ILMω. This extension concerns recursively enumerable sets of formulas of interpretability logic (rather than single formulas). As corollaries we obtain a uniform arithmetical completeness theorem for the interpretability logic ILM and a partial answer to a question of Orey from 1961. After some simplifications, we also obtain Shavrukov's embedding theorem for Magari algebras (a.k.a. diagonalizable algebras).

scholarly journals A note on a space Hp, a of holomorphic functions

1987 ◽  
Vol 35 (3) ◽  
pp. 471-479
Author(s):  
H. O. Kim ◽  
S. M. Kim ◽  
E. G. Kwon
Keyword(s):  
Hardy Space ◽  
Complex Plane ◽  
Unit Disc ◽  
Weak Type ◽  
Holomorphic Functions ◽  
Embedding Theorem ◽  
Type Operator ◽  
Taylor Coefficients ◽  
Bounded Holomorphic

For 0 < p < ∞ and 0 ≤a; ≤ 1, we define a space Hp, a of holomorphic functions on the unit disc of the complex plane, for which Hp, 0 = H∞, the space of all bounded holomorphic functions, and Hp, 1 = Hp, the usual Hardy space. We introduce a weak type operator whose boundedness extends the well-known Hardy-Littlewood embedding theorem to Hp, a, give some results on the Taylor coefficients of the functions of Hp, a and show by an example that the inner factor cannot be divisible in Hp, a.

Embedding Theorem for Inhomogeneous Besov and Triebel–Lizorkin Spaces on RD-spaces

2015 ◽  
Vol 58 (4) ◽  
pp. 757-773 ◽  
Author(s):  
Yanchang Han
Keyword(s):  
Embedding Theorem ◽  
Density Condition ◽  
Geometric Density

AbstractIn this article we prove an embedding theorem for inhomogeneous Besov and Triebel– Lizorkin spaces on RD-spaces. The crucial idea is to use the geometric density condition on the measure.

scholarly journals ON WłODARCZYK'S EMBEDDING THEOREM

2000 ◽  
Vol 11 (06) ◽  
pp. 811-836
Author(s):  
JÜRGEN HAUSEN
Keyword(s):  
Embedding Theorem ◽  
Normal Complex ◽  
Closed Embedding ◽  
Algebraic Formula

We prove the following version of Włodarczyk's Embedding Theorem: Every normal complex algebraic [Formula: see text]-variety Y admits an equivariant closed embedding into a toric prevariety X on which [Formula: see text] acts as a one-parameter-subgroup of the big torus T⊂X. If Y is ℚ-factorial, then X may be chosen to be simplicial and of affine intersection.

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