On The L2continuity of pseudo_differential operators

DOI10.1080/03605308608820444zbMath0597.35121OpenAlexW2007463984MaRDI QIDQ3729487

Jorge G. Hounie

Publication date: 1986

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308608820444

zbMATH Keywords

pseudo-differential operators\(L^ 2\)-continuityCalderón- Vaillancourt theorem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Pseudodifferential operators as generalizations of partial differential operators (35S05) Pseudodifferential and Fourier integral operators on manifolds (58J40)

Related Items (21)

Uniqueness in the Cauchy problem for first—Order linear P.D.E.'s ⋮ \(L^p\)-regularity of rough bi-parameter Fourier integral operators ⋮ New weighted norm inequalities for pseudodifferential operators and their commutators ⋮ An \(L^q\rightarrow L^r\) estimate for rough Fourier integral operators and its applications ⋮ \(H^1\)-\(L^1\) boundedness of pseudo-differential operators with forbidden amplitudes ⋮ A pointwise estimate for pseudo-differential operators ⋮ \(L^{\infty}\)-BMO boundedness of some pseudo-differential operators ⋮ Fourier integral operators with forbidden symbols on the Besov spaces ⋮ On the continuity of strongly singular Calderón-Zygmund-type operators on Hardy spaces ⋮ Fourier integral operators on \(L^p(\mathbb{R}^n)\) when \(2 < p \leq \infty\) ⋮ The \(L_p\)-boundedness of some classes of pseudo-differential operators on the \(m\)-dimensional torus ⋮ A similarity principle for locally solvable vector fields. ⋮ \((L_p-L_q)\)-boundedness of pseudodifferential operators on the \(n\)-dimensional torus ⋮ -BOUNDS FOR PSEUDO-DIFFERENTIAL OPERATORS ON COMPACT LIE GROUPS ⋮ Weighted norm inequalities for pseudo-pseudodifferential operators defined by amplitudes ⋮ Weak and strong type estimates for the multilinear pseudo-differential operators ⋮ Estimates for the kernel and continuity properties of pseudo-differential operators ⋮ Pseudodifferential operators on local Hardy spaces ⋮ First-order hyperbolic pseudodifferential equations with generalized symbols ⋮ Some notes on endpoint estimates for pseudo-differential operators ⋮ Decay estimates for solutions of nonlocal semilinear equations

Cites Work

• Fourier integral operators. I
• Pseudo-differential operators with nonregular symbols
• On local solvability of linear partial differential equations
• On the L² continuity of pseudo‐differential operators

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