Old and New Morrey Spaces with Heat Kernel Bounds

By Xuan Thinh Duong, Jie Xiao, Lixin Yan. 2007

106 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/6811b93539b98a732215b232c1ee24990f3599f4

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The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Dachun Yang
2. Xuan Thinh Duong
3. Ji Li
4. Sibei Yang
5. S. Hofmann
6. Renjin Jiang
7. P. Auscher
8. Svitlana Mayboroda

In Mathematical Physics

1. Dachun Yang
2. Xuan Thinh Duong
3. Sibei Yang
4. Ji Li
5. S. Hofmann
6. Renjin Jiang
7. P. Auscher
8. Svitlana Mayboroda

Citations in the corpus

• Hardy spaces associated to operators satisfying Davies–Gaffney estimates and bounded holomorphic functional calculus☆ (2013, background): “In recent years, function spaces, especially Hardy spaces and BMO spaces, associated with operators have been studied extensively; see, for example, [4], [6], [7], [15], [17], [18], [20], [21], [37] and references therein.”
• Boundedness and compactness characterizations of Cauchy integral commutators on Morrey spaces (2018, background): “For more results on the boundedness of operators on Morrey spaces, we refer the reader to [2, 23, 24, 1, 15].”
• Musielak-Orlicz Campanato Spaces and Applications (2013, background): “For more applications of Campanato spaces and those function spaces related to Campanato spaces in harmonic analysis and partial differential equations, see, for example, [34, 37, 1, 16, 10, 31, 19, 30, 40, 11] and their references.”
• Localized Morrey-Campanato spaces on metric measure spaces and applications to Schrüdinger operators (2009, unknown): “The theory of Morrey-Campanato spaces plays an important role in harmonic analysis and partial differential equations (see, e.g., [1], [24], [28], [29], [26], [17], [22], [23], [5] and their references).”
• Morrey-Campanato Spaces: an Overview (2013, methodology): “Yan [29] (2006) studied the Morrey-Campanato spaces defined with the constant c = fB in the definition in (28) replaced by a semigroup of operators.”
• Musielak–Orlicz–Hardy Spaces Associated with Operators and Their Applications (2012, background): “In recent years, the study of function spaces associated with different operators inspired great interests (see, for example, [6, 7, 8, 35, 36, 37, 51, 52, 53, 57, 58, 59, 60, 86, 93] and their references).”
• Second order elliptic operators with complex bounded measurable coefficients in L p , Sobolev and Hardy spaces (2010, background): “26), with α = 0 andM = 1, and they have also considered Morrey-Campanato type spaces corresponding to the case α > 0 [28].”
• New Orlicz–Hardy spaces associated with divergence form elliptic operators (2009, background): “In this section, we recall some notions and notation on the divergence form elliptic operator, and present some basic properties on Orlicz functions and also describe some basic assumptions on them.”
• Compactness of Commutators for Singular Integrals on Morrey Spaces (2012, background): “The Morrey space associated with the heat kernel was studied in [15, 21, 49].”
• Orlicz-Hardy Spaces Associated with Operators Satisfying Davies-Gaffney Estimates (2009, background): “In recent years, the study of Hardy spaces and BMO spaces associated with different operators inspired great interests; see, for example, [1, 2, 3, 11, 12, 13, 14, 18, 17, 21, 33] and their references.”
• Integral operators on analytic Morrey spaces (2013, background): “Duong, Yan and Xiao [11] characterized Morrey spaces by the operators with heat kernel bounds.”