Abstract
The main purpose of this paper is to establish, using the bi-parameter Littlewood–Paley–Stein theory (in particular, the bi-parameter Littlewood–Paley–Stein square functions), a Calderón–Torchinsky type theorem for the following Fourier multipliers on anisotropic product Hardy spaces
Our main theorem is the following: Assume that
with
where
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 11801049
Funding source: Natural Science Foundation of Chongqing
Award Identifier / Grant number: cstc2019jcyj-msxmX0374
Funding statement: The authors were supported by NNSF of China (Grant No. 11801049), the Natural Science Foundation of Chongqing (cstc2019jcyj-msxmX0374), Technology Project of Chongqing Education Committee (Grant No. KJQN201800514).
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© 2021 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Approximating pointwise products of quasimodes
- On the group of a rational maximal bifix code
- Hörmander type multiplier theorems on bi-parameter anisotropic Hardy spaces
- Newton’s method for nonlinear stochastic wave equations
- On the classification of Schreier extensions of monoids with non-abelian kernel
- Smoothness filtration of the magnitude complex
- Varieties of nilpotent Lie superalgebras of dimension ≤ 5
- The Dual Baer Criterion for non-perfect rings
- Spectral property of the planar self-affine measures with three-element digit sets
- Spectral properties of certain Moran measures with consecutive and collinear digit sets
- Envelopes of circles and spacelike curves in the Lorentz–Minkowski 3-space
- A polynomial bound for the number of maximal systems of imprimitivity of a finite transitive permutation group
- Well-posedness of backward stochastic partial differential equations with Lyapunov condition
- Free division rings of fractions of crossed products of groups with Conradian left-orders
- Strong uncountable cofinality for unitary groups of von Neumann algebras
- Irreducible holonomy groups and first integrals for holomorphic foliations
- Alexandroff topologies and monoid actions
Artikel in diesem Heft
- Frontmatter
- Approximating pointwise products of quasimodes
- On the group of a rational maximal bifix code
- Hörmander type multiplier theorems on bi-parameter anisotropic Hardy spaces
- Newton’s method for nonlinear stochastic wave equations
- On the classification of Schreier extensions of monoids with non-abelian kernel
- Smoothness filtration of the magnitude complex
- Varieties of nilpotent Lie superalgebras of dimension ≤ 5
- The Dual Baer Criterion for non-perfect rings
- Spectral property of the planar self-affine measures with three-element digit sets
- Spectral properties of certain Moran measures with consecutive and collinear digit sets
- Envelopes of circles and spacelike curves in the Lorentz–Minkowski 3-space
- A polynomial bound for the number of maximal systems of imprimitivity of a finite transitive permutation group
- Well-posedness of backward stochastic partial differential equations with Lyapunov condition
- Free division rings of fractions of crossed products of groups with Conradian left-orders
- Strong uncountable cofinality for unitary groups of von Neumann algebras
- Irreducible holonomy groups and first integrals for holomorphic foliations
- Alexandroff topologies and monoid actions