On boundedness of fractional Hadamard integration and Hadamard-type integration in Lebesgue spaces with mixed norm

DOI10.1007/s10958-024-06952-1OpenAlexW4391390894WikidataQ128955845 ScholiaQ128955845MaRDI QIDQ6154860

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Publication date: 16 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-024-06952-1

zbMATH Keywords

Lebesgue space with mixed normSobolev-type theoremHadamard-type integrationfractional Hadamard integration

Mathematics Subject Classification ID

Functions of one variable (26Axx) Harmonic analysis in several variables (42Bxx) Integral transforms, operational calculus (44Axx)

Cites Work

• On the Hörmander-Mihlin theorem for mixed-norm Lebesgue spaces
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• The spaces \(L^ p\), with mixed norm
• Elliptic and parabolic equations with measurable coefficients in \(L_p\)-spaces with mixed norms
• Vector-valued singular integral operators on \(L^ p\)-spaces with mixed norms and applications
• Fractional calculus in the Mellin setting and Hadamard-type fractional integrals
• Compositions of Hadamard-type fractional integration operators and the semigroup property
• Some properties and applications of the integrodifferential operators of Hadamard-Marchaud type in the class of harmonic functions
• CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS
• Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
• CALDERÓN–ZYGMUND OPERATORS ON MIXED LEBESGUE SPACES AND APPLICATIONS TO NULL FORMS
• Hadamard-type fractional integrals and Marchaud-Hadamard-type fractional derivatives in the spaces with power weight
• A Chen-type Modification of Hadamard Fractional Integro-Differentiation
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