Differential operators of constant strength

1969 ◽  
pp. 170-180
Author(s):  
Lars Hörmander
Keyword(s):  
Differential Operators ◽  
Constant Strength

scholarly journals Global properties of differential operators of constant strength

1977 ◽  
Vol 15 (1-2) ◽  
pp. 169-198 ◽  
Author(s):  
Gudrun Gudmundsdottir
Keyword(s):  
Differential Operators ◽  
Global Properties ◽  
Constant Strength

scholarly journals ω-hypoelliptic differential operators of constant strength

2004 ◽  
Vol 297 (2) ◽  
pp. 561-576 ◽  
Author(s):  
C. Fernández ◽  
A. Galbis ◽  
D. Jornet
Keyword(s):  
Differential Operators ◽  
Constant Strength

scholarly journals On hypoelliptic differential operators of constant strength

1979 ◽  
Vol 82 (1) ◽  
pp. 249-256 ◽  
Author(s):  
M. Shafii-Mousavi ◽  
Zbigniew Zielezny
Keyword(s):  
Differential Operators ◽  
Constant Strength

The Calder´on-Zygmund Theory I: Ellipticity

2017 ◽  
Author(s):  
Brian Street
Keyword(s):  
Classical Theory ◽  
Singular Integral ◽  
Singular Integrals ◽  
Differential Operators ◽  
Integral Operators ◽  
Singular Integral Operators ◽  
Single Parameter ◽  
Partial Differential ◽  
Translation Invariant ◽  
Partial Differential Operators

This chapter discusses a case for single-parameter singular integral operators, where ρ‎ is the usual distance on ℝn. There, we obtain the most classical theory of singular integrals, which is useful for studying elliptic partial differential operators. The chapter defines singular integral operators in three equivalent ways. This trichotomy can be seen three times, in increasing generality: Theorems 1.1.23, 1.1.26, and 1.2.10. This trichotomy is developed even when the operators are not translation invariant (many authors discuss such ideas only for translation invariant, or nearly translation invariant operators). It also presents these ideas in a slightly different way than is usual, which helps to motivate later results and definitions.

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