Vanishing John-Nirenberg spaces
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Publication:2086116
DOI10.1515/acv-2020-0061zbMath1502.42018OpenAlexW3128325523MaRDI QIDQ2086116
Wen Yuan, Jin Tao, Da Chun Yang
Publication date: 20 October 2022
Published in: Advances in Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/acv-2020-0061
Euclidean spacedyadic cube\(\mathrm{BMO}(\mathbb{R}^n)\)\(\mathrm{CJN}_p(\mathbb{R}^n)\)\(\mathrm{CMO}(\mathbb{R}^n)\)\(\mathrm{JN}_p(\mathbb{R}^n)\)\(\mathrm{VJN}_p(\mathbb{R}^n)\)\(\mathrm{VMO}(\mathbb{R}^n)\)
Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) (H^p)-spaces (42B30)
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Nontrivial examples of \(JN_p\) and \(VJN_p\) functions ⋮ A new vanishing Lipschitz-type subspace of BMO and compactness of bilinear commutators ⋮ John-Nirenberg-\(Q\) spaces via congruent cubes ⋮ Parabolic John-Nirenberg spaces with time lag ⋮ The John-Nirenberg space: equality of the vanishing subspaces \(VJN_p\) and \(CJN_p\) ⋮ Bourgain-Morrey spaces mixed with structure of Besov spaces ⋮ Boundedness of Calderón-Zygmund operators on special John-Nirenberg-Campanato and Hardy-type spaces via congruent cubes ⋮ Estimates for Littlewood-Paley operators on ball Campanato-type function spaces ⋮ Boundedness of fractional integrals on special John-Nirenberg-Campanato and Hardy-type spaces via congruent cubes
Cites Work
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- Oscillation estimates, self-improving results and good-\(\lambda\) inequalities
- Duality and distance formulas in spaces defined by means of oscillation
- Approximation in Morrey spaces
- On the invariance of certain vanishing subspaces of Morrey spaces with respect to some classical operators
- On compactness of commutators of multiplication and bilinear pseudodifferential operators and a new subspace of BMO
- Local to global results for spaces of BMO type
- On the compactness of operators of Hankel type
- Mean oscillation and commutators of singular integral operators
- Self-improving properties of John-Nirenberg and Poincaré inequalities on spaces of homogeneous type
- The space \(JN_{p}\): nontriviality and duality
- Maximal commutators and commutators of potential operators in new vanishing Morrey spaces
- Beurling-Ahlfors commutators on weighted Morrey spaces and applications to Beltrami equations
- Special John-Nirenberg-Campanato spaces via congruent cubes
- Atomic decompositions, two stars theorems, and distances for the Bourgain-Brezis-Mironescu space and other big spaces
- A bridge connecting Lebesgue and Morrey spaces via Riesz norms
- Localized John-Nirenberg-Campanato spaces
- John-Nirenberg-Campanato spaces
- Boundedness results for commutators with BMO functions via weighted estimates: a comprehensive approach
- Multivariate bounded variation functions of Jordan-Wiener type
- Compact bilinear commutators: the weighted case
- \(H^p\) spaces of several variables
- Marcinkiewicz spaces, Garsia-Rodemich spaces and the scale of John-Nirenberg self improving inequalities
- Compact bilinear operators and commutators
- Aspects of local-to-global results
- John–Nirenberg lemmas for a doubling measure
- On functions of bounded mean oscillation
- On the Banach structure of multivariate BV spaces
- Morrey Space
- Functions of Vanishing Mean Oscillation
- Extensions of Hardy spaces and their use in analysis
- Hardy spaces, BMO, and boundary value problems for the Laplacian on a smooth domain in 𝐑^{𝐍}
- Local VMO and Weak Convergence in h1
- Characterization of compactness of commutators of bilinear singular integral operators
- The norm of the characteristic function of a set in the John‐Nirenberg space of exponent p
- Preservation of certain vanishing properties of generalized Morrey spaces by some classical operators
- Weighted estimates for Beltrami equations
- Boundedness and compactness characterizations of Cauchy integral commutators on Morrey spaces
- Fractional integration on the space $H^{1}$ and its dual
