Generalized fractional integral operators based on symmetric Markovian semigroups with application to the Heisenberg group
DOI10.11650/tjm/220904OpenAlexW4312309923MaRDI QIDQ2687239
Gaku Sadasue, Kohei Amagai, Eiichi Nakai
Publication date: 1 March 2023
Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/journals/taiwanese-journal-of-mathematics/volume-27/issue-1/Generalized-Fractional-Integral-Operators-Based-on-Symmetric-Markovian-Semigroups-with/10.11650/tjm/220904.full
Heisenberg groupOrlicz spacespace of homogeneous typefractional integralMarkovian semigroupVaropoulos dimension
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Markov semigroups and applications to diffusion processes (47D07) Integral operators (47G10) Martingales and classical analysis (60G46) Inequalities involving derivatives and differential and integral operators (26D10)
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Cites Work
- Martingale transforms and the Hardy-Littlewood-Sobolev inequality for semigroups
- Martingale Morrey-Campanato spaces and fractional integrals
- Sharp constants in several inequalities on the Heisenberg group
- Riesz potential on the Heisenberg group
- An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem
- Hardy-Littlewood theory for semigroups
- Brownian motion on the Sierpinski gasket
- Lipschitz functions on spaces of homogeneous type
- Least action principle, heat propagation and subelliptic estimates on certain nilpotent groups
- Estimates of transition densities for Brownian motion of nested fractals
- Generalized fractional integral operators and their commutators with functions in generalized Campanato spaces on Orlicz spaces
- Fractional integrals and their commutators on martingale Orlicz spaces
- Generalized fractional maximal and integral operators on Orlicz and generalized Orlicz-Morrey spaces of the third kind
- Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
- Stratified Lie Groups and Potential Theory for their Sub-Laplacians
- Extensions of Hardy spaces and their use in analysis
- Characterizations of boundedness for generalized fractional integrals on martingale Morrey spaces
- On Certain Convolution Inequalities
- Characterizations for the generalized fractional integral operators on Morrey spaces
- Fractional Integration in Orlicz Spaces. I
- On generalized fractional integrals
- Boundedness of fractional integral operators on Morrey spaces and Sobolev embeddings for generalized Riesz potentials
- Generalized fractional integral operators on Orlicz–Hardy spaces
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