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June 17, 2026Journal of Inequalities and ApplicationsOpen Access

Several inequalities concerning real interpolation in the weighted Lebesgue and Morrey spaces and related bilinear estimates

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The aim is to establish interpolation inequalities in weighted Lebesgue and Morrey spaces and investigate their embedding constants.
Utilized Calderón–Zygmund decomposition with respect to weight function ω
Proved inclusion relations between spaces L^p(ω)∩BMO and L^q(ω)
Analyzed embedding constants as q approaches infinity for various parameters.
Established the inequality ||f||_{L^{q}(ω)} ≤ C(p,q,n,[ω]_{A_{p}})·(||f||_{L^{p}(ω)})^{p/q}·(||f||_{BMO})^{1-p/q}
Showed linear growth of embedding constant from weighted Morrey spaces as q increases
Demonstrated new bilinear estimates relevant for second-order elliptic and parabolic PDEs.

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Implication

This randomized trial establishes interpolation inequalities in weighted Lebesgue and Morrey spaces, suggesting implications for partial differential equations.

Cite This Study

Hua Wang (2026) studied this question.

synapsesocial.com/papers/6a323b4cd50b63ecad205f28 https://doi.org/10.1186/s13660-026-03500-0

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Implication

This randomized trial establishes interpolation inequalities in weighted Lebesgue and Morrey spaces, suggesting implications for partial differential equations.

Several inequalities concerning real interpolation in the weighted Lebesgue and Morrey spaces and related bilinear estimates

Key Points

Discussion

Implication

Cite This Study

Several inequalities concerning real interpolation in the weighted Lebesgue and Morrey spaces and related bilinear estimates

Key Points

Discussion

Implication

Cite This Study