Boundedness of Iterated Spherical Average on α-Modulation Spaces

نویسندگان

چکیده

For the iteration of spherical average (A1)N and Laplace operator Δ, we consider boundedness Δ(A1)N on α-modulation spaces \(M_{p,q}^{s,\alpha }\). The authors obtain some sufficient necessary conditions to ensure spaces. main theorems significantly improve known results.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Boundedness of Fourier Integral Operators on Modulation Spaces

It is known that Fourier integral operators arising when solving Schrödinger-type operators are bounded on the modulation spaces Mp,q, for 1 ≤ p = q ≤ ∞, provided their symbols belong to the Sjöstrand class M. However, they generally fail to be bounded on Mp,q for p 6= q. In this paper we study several additional conditions, to be imposed on the phase or on the symbol, which guarantee the bound...

متن کامل

Boundedness of Schrödinger Type Propagators on Modulation Spaces

It is known that Fourier integral operators arising when solving Schrödinger-type operators are bounded on the modulation spaces Mp,q, for 1 ≤ p = q ≤ ∞, provided their symbols belong to the Sjöstrand class M. However, they generally fail to be bounded on Mp,q for p 6= q. In this paper we study several additional conditions, to be imposed on the phase or on the symbol, which guarantee the bound...

متن کامل

On the L-boundedness of Pseudo-differential Operators and Their Commutators with Symbols in Α-modulation Spaces

Since the theory of pseudo-differential operators was established in 1970’s, the L-boundedness of them with symbols in the Hörmander class S ρ,δ has been well investigated by many authors. Among them, Calderón-Vaillancourt [5] first treated the boundedness for the class S 0,0, which means that the boundedness of all the derivatives of symbols assures the L-boundedness of the corresponding opera...

متن کامل

Boundedness of Spherical Fano Varieties

Classically, G. Fano proved that the family of (smooth, anticanonically embedded) Fano 3-dimensional varieties is bounded, and moreover provided their classification, later completed by V.A. Iskovskikh, S. Mukai and S. Mori. For singular Fano varieties with log terminal singularities, there are two basic boundedness conjectures: Index Boundedness and the much stronger ǫ-lt Boundedness. The ǫ-lt...

متن کامل

ON LOCAL BOUNDEDNESS OF I-TOPOLOGICAL VECTOR SPACES

The notion of generalized locally bounded $I$-topological vectorspaces is introduced. Some of their important properties arestudied. The relationship between this kind of spaces and thelocally bounded $I$-topological vector spaces introduced by Wu andFang [Boundedness and locally bounded fuzzy topological vectorspaces, Fuzzy Math. 5 (4) (1985) 87$-$94] is discussed. Moreover, wealso use the fam...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Chinese Annals of Mathematics, Series B

سال: 2021

ISSN: ['0252-9599', '1572-9133', '1860-6261']

DOI: https://doi.org/10.1007/s11401-021-0287-0