On the average operators, oscillatory integrals, singular integrals and their applications

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Integral operators (47G10) (H^p)-spaces (42B30) Inequalities for sums, series and integrals (26D15) Harmonic analysis in several variables (42B99) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Analysis on ordered groups, (H^p)-theory (43A17)

Cites Work

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Norm inequalities for higher-order commutators of one-sided oscillatory singular integrals
Sharp estimates for Hardy operators on Heisenberg group
On fractional capacities relative to bounded open Lipschitz sets
\(L^{p}\) and BMO bounds for weighted Hardy operators on the Heisenberg group
Some characterizations of Campanato spaces via commutators on Morrey spaces
On the Cauchy-Szegő kernel for quaternion Siegel upper half-space
The Cauchy integral in \(\mathbb{C}^n\) for domains with minimal smoothness
\(M_{p}\) weights for bilinear Hardy operators on \(\mathbb R ^{n}\)
Hardy spaces associated with a pair of commuting operators
Weighted multilinear Hardy operators and commutators
The Cauchy-Szegő projection for domains in \(\mathbb{C}^n\) with minimal smoothness
Fractional capacities relative to bounded open Lipschitz sets complemented
Weighted \(p\)-adic Hardy operators and their commutators on \(p\)-adic central Morrey spaces
Commutators of \(n\)-dimensional rough Hardy operators
Hausdorff operators on function spaces
A tracing of the fractional temperature field
Dirac operators with gradient potentials and related monogenic functions
On the compactness of commutators of Hardy operators
Compactness of commutators of Riesz potential on Morrey spaces
Harmonic analysis on nilpotent groups and singular integrals. I: Oscillatory integrals
On the boundedness and compactness of operators of Hankel type
Factorization theorems for Hardy spaces in several variables
On the compactness of operators of Hankel type
Analyticity and existence of the Keller-Segel-Navier-Stokes equations in critical Besov spaces
Hardy space estimates of Hausdorff operators on the Heisenberg group
Lower bound of Riesz transform kernels and commutator theorems on stratified nilpotent Lie groups
Existence and large time behavior to coupled chemotaxis-fluid equations in Besov-Morrey spaces
Some notes on supersolutions of fractional \(p\)-Laplace equation
Boundedness of Hausdorff operators on Hardy spaces in the Heisenberg group
Sharp estimates of \(p\)-adic Hardy and Hardy-Littlewood-Pólya operators
A characterization of \(\lambda\)-central BMO space
A local well-posed result for the fifth order KP-II initial value problem
Estimates for vector-valued commutators on weighted Morrey space and applications
Fractional Fourier transforms on \(L^p\) and applications
Riesz-Kolmogorov theorem in variable exponent Lebesgue spaces and its applications to Riemann-Liouville fractional differential equations
Weighted Herz space estimates for Hausdorff operators on the Heisenberg group
Two characterizations of central BMO space via the commutators of Hardy operators
Fractional non-linear regularity, potential and balayage
Positive solutions for nonlinear Schrödinger-Kirchhoff equations in \(\mathbb{R}^3\)
Weighted estimates for bilinear square functions with non-smooth kernels and commutators
An initial and boundary value problem of fractional Jeffreys' fluid in a porous half space
A characterization of Campanato space via commutator of fractional integral
Riemann-type problem in Hermitian Clifford analysis
Schwarz-type lemmas associated to a Helmholtz equation
Compactness of Riesz transform commutator on stratified Lie groups
Local well-posedness for periodic Benjamin equation with small initial data
Characterization of the central Campanato space via the commutator operator of Hardy type
Boundedness and continuity of Marcinkiewicz integrals associated to homogeneous mappings on Triebel-Lizorkin spaces
Weighted estimates for commutators of one-sided oscillatory integral operators
On the boundedness of multilinear Littlewood-Paley \(g_\lambda^\ast\) function
Global smoothing for the periodic Benjamin equation in low-regularity spaces
Estimates for operators on weighted Morrey spaces and their applications to nondivergence elliptic equations
Some one-sided estimates for oscillatory singular integrals
The singular convergence of a chemotaxis-fluid system modeling coral fertilization
Real-variable characterizations of Musielak-Orlicz-Hardy spaces associated with Schrödinger operators on domains
Compactness of Commutators for Singular Integrals on Morrey Spaces
Some norm inequalities for commutators with symbol function in Morrey spaces
On weighted weak type norm inequalities for one-sided oscillatory singular integrals
Commutators of Cauchy-Szego type integrals for domains in C^n with minimal smoothness
Weighted Inequalities for the One-Sided Hardy-Littlewood Maximal Functions
One-Sided BMO Spaces
Gradient estimates via rearrangements for solutions of some Schrödinger equations
Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
Best Constants for Two Nonconvolution Inequalities
An explicit formula of Cauchy-Szego kernel for quaternionic Siegel upper half space and applications
BOUNDEDNESS AND COMPACTNESS OF CAUCHY-TYPE INTEGRAL COMMUTATOR ON WEIGHTED MORREY SPACES
Riemann boundary value problem for harmonic functions in Clifford analysis
Weighted Morrey estimates for Hausdorff operator and its commutator on the Heisenberg group
THE APPROXIMATE SOLUTION OF RIEMANN TYPE PROBLEMS FOR DIRAC EQUATIONS BY NEWTON EMBEDDING METHOD
Cauchy–Szegö commutators on weighted Morrey spaces
Dual characterization of fractional capacity via solution of fractional p‐Laplace equation
An application of BMO-type space to chemotaxis-fluid equations
A study of one-sided singular integral and function space via reproducing formula
Riesz transform associated with the fractional Fourier transform and applications in image edge detection
Characterizations of the viscosity solution of a nonlocal and nonlinear equation induced by the fractional \(p\)-Laplace and the fractional \(p\)-convexity
Some integral representation formulas and Schwarz lemmas related to perturbed Dirac operators
On strongly indefinite Schrödinger equations with non-periodic potential