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May 11, 2026Georgian Mathematical Journal

Area integrals associated to self-adjoint operators on vector-valued generalized weighted Morrey spaces

Chunmei Zhang Zhidan Wang

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Key Points

The study aims to explore area integrals linked to self-adjoint operators in vector-valued spaces.
Investigated vector-valued analogs of area integrals associated with self-adjoint operators.
Analyzed Gaussian upper bounds for the operators.
Developed mathematical expressions to characterize the area integrals.
Identified properties of area integrals in relation to self-adjoint operators.
Established connections between Gaussian bounds and operator behavior in vector-valued spaces.

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Implication

This research demonstrates area integrals of vector-valued functions with self-adjoint operators, implying Gaussian bounds influence their behavior.

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Cite This Study

Zhang et al. (2026) studied this question.

synapsesocial.com/papers/6a03cbe01c527af8f1ecfa21 https://doi.org/10.1515/gmj-2026-3001

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