Calderón–Zygmund theory

Observed surface forms (2)

Surface form	Occurrences
Calderón–Zygmund decomposition	2
Calderón–Zygmund operators	2

Statements (48)

Predicate	Object
instanceOf	branch of harmonic analysis ⓘ mathematical theory ⓘ
appliesTo	BMO ⓘ Hardy spaces NERFINISHED ⓘ L^p spaces ⓘ Sobolev spaces NERFINISHED ⓘ
characteristicResult	L^p-boundedness of singular integrals for 1<p<∞ ⓘ boundedness of Riesz transforms on L^p ⓘ boundedness of the Hilbert transform on L^p ⓘ weak (1,1) boundedness of singular integrals ⓘ
developedIn	20th century ⓘ
field	harmonic analysis ⓘ
hasMethod	covering lemmas ⓘ dyadic analysis ⓘ real-variable methods ⓘ stopping-time arguments ⓘ
namedAfter	Alberto Calderón NERFINISHED ⓘ Antoni Zygmund NERFINISHED ⓘ
relatedTo	Fourier analysis ⓘ geometric measure theory ⓘ partial differential equations ⓘ potential theory ⓘ weighted norm inequalities ⓘ
studies	Calderón–Zygmund operators NERFINISHED ⓘ L^p-boundedness of operators ⓘ boundedness of operators on function spaces ⓘ convolution-type singular integrals ⓘ maximal singular integrals ⓘ non-convolution singular integrals ⓘ singular integral operators ⓘ weighted L^p estimates ⓘ
usesConcept	Calderón–Zygmund decomposition NERFINISHED ⓘ Hölder continuity of kernels ⓘ Littlewood–Paley theory NERFINISHED ⓘ Muckenhoupt A_p weights ⓘ atomic decompositions ⓘ good–lambda inequalities ⓘ interpolation of operators ⓘ kernel estimates ⓘ maximal operators ⓘ principal value integrals ⓘ restricted weak-type estimates ⓘ size conditions on kernels ⓘ smoothness conditions on kernels ⓘ square functions ⓘ strong-type estimates ⓘ truncation of singular integrals ⓘ weak-type estimates ⓘ

Referenced by (9)

Full triples — surface form annotated when it differs from this entity's canonical label.

Elias Stein → fieldOfWork → Calderón–Zygmund theory ⓘ

Elias Stein → influenced → Calderón–Zygmund theory ⓘ

Alberto Calderón → notableFor → Calderón–Zygmund theory ⓘ

this entity surface form: Calderón–Zygmund decomposition

Alberto Calderón → notableFor → Calderón–Zygmund theory ⓘ

this entity surface form: Calderón–Zygmund operators

Singular Integrals and Differentiability Properties of Functions → topic → Calderón–Zygmund theory ⓘ

this entity surface form: Calderón–Zygmund decomposition

Singular Integrals and Differentiability Properties of Functions → topic → Calderón–Zygmund theory ⓘ

this entity surface form: Calderón–Zygmund operators

Littlewood–Paley theory → relatedConcept → Calderón–Zygmund theory ⓘ