Harmonic functions with traces in \(Q\) type spaces related to weights

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Fractional derivatives and integrals (26A33) Besov spaces and (Q_p)-spaces (30H25)

Cites Work

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Fractional elliptic equations, Caccioppoli estimates and regularity
Real-variable theory of Musielak-Orlicz Hardy spaces
The dyadic structure and atomic decomposition of \(Q\) spaces in several real variables
Well-posedness and regularity of generalized Navier-Stokes equations in some critical \(Q\)-spaces
Several function-theoretic characterizations of Möbius invariant \(\mathcal Q_K\) spaces
Homothetic variant of fractional Sobolev space with application to Navier-Stokes system
A new class of function spaces connecting Triebel--Lizorkin spaces and \(Q\) spaces
New Besov-type spaces and Triebel-Lizorkin-type spaces including \(Q\) spaces
Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
Morrey and Campanato meet Besov, Lizorkin and Triebel
Multipliers of the Dirichlet space
Bounded functions in Möbius invariant Dirichlet spaces
On analytic and meromorphic functions and spaces of \(Q_K\)-type
\(Q\) spaces and Morrey spaces
Some new tent spaces and duality theorems for fractional Carleson measures and \(Q_{\alpha}(\mathbb R^n)\).
\(\mathcal{Q}_K\) spaces of several real variables
Some subclasses of BMOA and their characterization in terms of Carleson measures
Carleson measures and the boundedness of singular integral operators on \(Q\)-type spaces related to weights
Extension of \(Q\) type spaces related with weights via \(s\)-harmonic equations and applications
Several remarks on Musielak-Orlicz Hardy spaces
The logarithmic Sobolev capacity
Asymptotic properties of some space-time fractional stochastic equations
N-S systems via \(\mathcal{Q}\)-\(\mathcal{Q}^{-1}\) spaces
Well-posedness of the Cauchy problem for the fractional power dissipative equations
Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian
Riesz transform characterizations of Musielak-Orlicz-Hardy spaces
Weak Musielak-Orlicz Hardy spaces and applications
Spaces of harmonic functions with boundary values in
Q spaces of several real variables
ON SUBSPACES AND SUBSETS OF BMOA AND UBC
Carleson measures and some classes of meromorphic functions
Weighted Inequalities of Hardy Type
Boundedness of Differential Transforms for Heat Semigroups Generated by Schrödinger Operators
Intrinsic square function characterizations of Musielak-Orlicz Hardy spaces
An Extension Problem Related to the Fractional Laplacian
Holomorphic \(Q\) classes

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