Algebras of Calderón–Zygmund Operators Associated with Para-Accretive Functions on Spaces of Normal Homogeneous Type
In this paper, by using several almost orthogonal estimates and a continuous Calderón reproducing formula associated with para-accretive functions, we obtain the algebras of generalized-product Calderón–Zygmund operators under the condition <inline-formula><math xmlns="http://www.w3.or...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2025-03-01
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| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/13/7/1030 |
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| Summary: | In this paper, by using several almost orthogonal estimates and a continuous Calderón reproducing formula associated with para-accretive functions, we obtain the algebras of generalized-product Calderón–Zygmund operators under the condition <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>T</mi><mn>1</mn></msub><mrow><mo>(</mo><msub><mi>b</mi><mn>1</mn></msub><mo>)</mo></mrow><mo>=</mo><msubsup><mi>T</mi><mrow><mn>1</mn></mrow><mo>*</mo></msubsup><mrow><mo>(</mo><msub><mi>b</mi><mn>1</mn></msub><mo>)</mo></mrow><mo>=</mo><msub><mi>T</mi><mn>2</mn></msub><mrow><mo>(</mo><msub><mi>b</mi><mn>2</mn></msub><mo>)</mo></mrow><mo>=</mo><msubsup><mi>T</mi><mn>2</mn><mo>*</mo></msubsup><mrow><mo>(</mo><msub><mi>b</mi><mn>2</mn></msub><mo>)</mo></mrow><mo>=</mo><mn>0</mn></mrow></semantics></math></inline-formula>. |
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| ISSN: | 2227-7390 |