Sharp maximal functions associated with approximations of the identity in spaces of homogeneous type and applications

By J. M. Martell. 2004

158 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mathematical Physics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/eaa44e865eb6d39dd6b7130d90d4fc26c8ff08da

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In Applied Mathematics

In Mathematical Physics

In Statistics and Probability

Citations in the corpus

COMPARISON OF THE CLASSICAL BMO WITH THE BMO SPACES ASSOCIATED WITH OPERATORS AND APPLICATIONS (2006, background): “The following proposition is essentially equivalent to Proposition 3.1 of [ 23 ].”
Multilinear analysis on metric spaces (2014, background): “Our proof here invokes some ideas from [81].”
A characterization of the Morrey-Campanato spaces (2005, background): “the fact that ϕ(x)dx = 1 and direct estimates as in Proposition 3.1 of [ Ma ].”
On $L_p$-estimates for elliptic and parabolic equations with $A_p$ weights (2016, background): “The sharp function in [47] is a generalization of the classical sharp function and is associated with approximations of the identity.”
Second order elliptic operators with complex bounded measurable coefficients in L p , Sobolev and Hardy spaces (2010, unknown): “Following [32] and [48], consider the operator”
Lp bounds for Riesz transforms and square roots associated to second order elliptic operators (2003, methodology): “This has been achieved in [Ma1], [Ma2] by means of a good-λ inequality for some new sharp maximal function.”
Singular Integrals and Elliptic Boundary Problems on Regular Semmes–Kenig–Toro Domains (2009, unknown): “[77] for spaces of homogeneous type.”
Weighted norm inequalities, Gaussian bounds and sharp spectral multipliers (2010, background): “8 in [30], together with the proofs of Theorems 3.”
Duality of Hardy and BMO spaces associated with operators with heat kernel bounds on product domains (2005, methodology): “1 of [25], we have that BMO ⊆ BMOL and the estimate (6.”
Riesz transform on manifolds and heat kernel regularity (2004, methodology): “its generalization to a limited range p0 < p < 2 in [9]. Another way (which covers the sublinear case as well), would be to mimic what we just did using instead the sharp function introduced in [72]. Deﬁne for f ∈ L2(M,µ), M# Af(x) = sup B∋x 1 µ(B) Z B |f −Ar(B)f|dµ, where the supremum is take”